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Finding the Third Proportional to 357,711.19 and 501,331.78

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Solution

The third proportional to 357,711.19 and 501,331.78 is: 702,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,711.19 : 501,331.78 = 501,331.78 : x
  2. Step 2: Convert to fraction form
    357,711.19/501,331.78 = 501,331.78/x
  3. Step 3: Cross multiply
    357,711.19x = 501,331.78 × 501,331.78
  4. Step 4: Simplify right side
    357,711.19x = 251,333,554,891.30
  5. Step 5: Solve for x
    x = 251,333,554,891.30/357,711.19
  6. Step 6: Final answer
    x = 702,615.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.