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Finding the Third Proportional to 445,301.75 and 970,527.50

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Solution

The third proportional to 445,301.75 and 970,527.50 is: 2,115,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,301.75 : 970,527.50 = 970,527.50 : x
  2. Step 2: Convert to fraction form
    445,301.75/970,527.50 = 970,527.50/x
  3. Step 3: Cross multiply
    445,301.75x = 970,527.50 × 970,527.50
  4. Step 4: Simplify right side
    445,301.75x = 941,923,628,256.25
  5. Step 5: Solve for x
    x = 941,923,628,256.25/445,301.75
  6. Step 6: Final answer
    x = 2,115,247.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.