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Finding the Third Proportional to 498,498 and 753,693

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Solution

The third proportional to 498,498 and 753,693 is: 1,139,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,498 : 753,693 = 753,693 : x
  2. Step 2: Convert to fraction form
    498,498/753,693 = 753,693/x
  3. Step 3: Cross multiply
    498,498x = 753,693 × 753,693
  4. Step 4: Simplify right side
    498,498x = 568,053,138,249
  5. Step 5: Solve for x
    x = 568,053,138,249/498,498
  6. Step 6: Final answer
    x = 1,139,529.42

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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.