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Finding the Third Proportional to 485,469 and 753,763

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Solution

The third proportional to 485,469 and 753,763 is: 1,170,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,469 : 753,763 = 753,763 : x
  2. Step 2: Convert to fraction form
    485,469/753,763 = 753,763/x
  3. Step 3: Cross multiply
    485,469x = 753,763 × 753,763
  4. Step 4: Simplify right side
    485,469x = 568,158,660,169
  5. Step 5: Solve for x
    x = 568,158,660,169/485,469
  6. Step 6: Final answer
    x = 1,170,329.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.