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Finding the Third Proportional to 498,488 and 752,304

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Solution

The third proportional to 498,488 and 752,304 is: 1,135,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,488 : 752,304 = 752,304 : x
  2. Step 2: Convert to fraction form
    498,488/752,304 = 752,304/x
  3. Step 3: Cross multiply
    498,488x = 752,304 × 752,304
  4. Step 4: Simplify right side
    498,488x = 565,961,308,416
  5. Step 5: Solve for x
    x = 565,961,308,416/498,488
  6. Step 6: Final answer
    x = 1,135,355.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.