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Finding the Third Proportional to 599,510,504 and 899,265,695.50

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Solution

The third proportional to 599,510,504 and 899,265,695.50 is: 1,348,898,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,510,504 : 899,265,695.50 = 899,265,695.50 : x
  2. Step 2: Convert to fraction form
    599,510,504/899,265,695.50 = 899,265,695.50/x
  3. Step 3: Cross multiply
    599,510,504x = 899,265,695.50 × 899,265,695.50
  4. Step 4: Simplify right side
    599,510,504x = 808,678,791,103,098,752
  5. Step 5: Solve for x
    x = 808,678,791,103,098,752/599,510,504
  6. Step 6: Final answer
    x = 1,348,898,452.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.