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Finding the Third Proportional to 499,764 and 730,908

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Solution

The third proportional to 499,764 and 730,908 is: 1,068,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,764 : 730,908 = 730,908 : x
  2. Step 2: Convert to fraction form
    499,764/730,908 = 730,908/x
  3. Step 3: Cross multiply
    499,764x = 730,908 × 730,908
  4. Step 4: Simplify right side
    499,764x = 534,226,504,464
  5. Step 5: Solve for x
    x = 534,226,504,464/499,764
  6. Step 6: Final answer
    x = 1,068,957.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.