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Finding the Third Proportional to 473,976 and 753,780

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Solution

The third proportional to 473,976 and 753,780 is: 1,198,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,976 : 753,780 = 753,780 : x
  2. Step 2: Convert to fraction form
    473,976/753,780 = 753,780/x
  3. Step 3: Cross multiply
    473,976x = 753,780 × 753,780
  4. Step 4: Simplify right side
    473,976x = 568,184,288,400
  5. Step 5: Solve for x
    x = 568,184,288,400/473,976
  6. Step 6: Final answer
    x = 1,198,761.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.