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Finding the Third Proportional to 359,654 and 729,940

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Solution

The third proportional to 359,654 and 729,940 is: 1,481,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,654 : 729,940 = 729,940 : x
  2. Step 2: Convert to fraction form
    359,654/729,940 = 729,940/x
  3. Step 3: Cross multiply
    359,654x = 729,940 × 729,940
  4. Step 4: Simplify right side
    359,654x = 532,812,403,600
  5. Step 5: Solve for x
    x = 532,812,403,600/359,654
  6. Step 6: Final answer
    x = 1,481,458.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.