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Finding the Third Proportional to 288,705,399.75 and 622,480,495.50

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Solution

The third proportional to 288,705,399.75 and 622,480,495.50 is: 1,342,136,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,705,399.75 : 622,480,495.50 = 622,480,495.50 : x
  2. Step 2: Convert to fraction form
    288,705,399.75/622,480,495.50 = 622,480,495.50/x
  3. Step 3: Cross multiply
    288,705,399.75x = 622,480,495.50 × 622,480,495.50
  4. Step 4: Simplify right side
    288,705,399.75x = 387,481,967,277,925,504
  5. Step 5: Solve for x
    x = 387,481,967,277,925,504/288,705,399.75
  6. Step 6: Final answer
    x = 1,342,136,197.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.