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Finding the Third Proportional to 418,096.13 and 631,059.19

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Solution

The third proportional to 418,096.13 and 631,059.19 is: 952,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,096.13 : 631,059.19 = 631,059.19 : x
  2. Step 2: Convert to fraction form
    418,096.13/631,059.19 = 631,059.19/x
  3. Step 3: Cross multiply
    418,096.13x = 631,059.19 × 631,059.19
  4. Step 4: Simplify right side
    418,096.13x = 398,235,698,128.16
  5. Step 5: Solve for x
    x = 398,235,698,128.16/418,096.13
  6. Step 6: Final answer
    x = 952,497.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.