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Finding the Third Proportional to 331,612.88 and 710,542.13

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Solution

The third proportional to 331,612.88 and 710,542.13 is: 1,522,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,612.88 : 710,542.13 = 710,542.13 : x
  2. Step 2: Convert to fraction form
    331,612.88/710,542.13 = 710,542.13/x
  3. Step 3: Cross multiply
    331,612.88x = 710,542.13 × 710,542.13
  4. Step 4: Simplify right side
    331,612.88x = 504,870,111,399.52
  5. Step 5: Solve for x
    x = 504,870,111,399.52/331,612.88
  6. Step 6: Final answer
    x = 1,522,468.36

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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.