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Finding the Third Proportional to 339,724.13 and 510,436.69

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Solution

The third proportional to 339,724.13 and 510,436.69 is: 766,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,724.13 : 510,436.69 = 510,436.69 : x
  2. Step 2: Convert to fraction form
    339,724.13/510,436.69 = 510,436.69/x
  3. Step 3: Cross multiply
    339,724.13x = 510,436.69 × 510,436.69
  4. Step 4: Simplify right side
    339,724.13x = 260,545,611,945.97
  5. Step 5: Solve for x
    x = 260,545,611,945.97/339,724.13
  6. Step 6: Final answer
    x = 766,932.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.