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Finding the Third Proportional to 331,624.13 and 710,557.31

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Solution

The third proportional to 331,624.13 and 710,557.31 is: 1,522,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,624.13 : 710,557.31 = 710,557.31 : x
  2. Step 2: Convert to fraction form
    331,624.13/710,557.31 = 710,557.31/x
  3. Step 3: Cross multiply
    331,624.13x = 710,557.31 × 710,557.31
  4. Step 4: Simplify right side
    331,624.13x = 504,891,694,347.22
  5. Step 5: Solve for x
    x = 504,891,694,347.22/331,624.13
  6. Step 6: Final answer
    x = 1,522,481.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.