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Finding the Third Proportional to 485,454 and 753,741

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Solution

The third proportional to 485,454 and 753,741 is: 1,170,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,454 : 753,741 = 753,741 : x
  2. Step 2: Convert to fraction form
    485,454/753,741 = 753,741/x
  3. Step 3: Cross multiply
    485,454x = 753,741 × 753,741
  4. Step 4: Simplify right side
    485,454x = 568,125,495,081
  5. Step 5: Solve for x
    x = 568,125,495,081/485,454
  6. Step 6: Final answer
    x = 1,170,297.28

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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.