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Finding the Third Proportional to 485,461.50 and 753,752.25

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Solution

The third proportional to 485,461.50 and 753,752.25 is: 1,170,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,461.50 : 753,752.25 = 753,752.25 : x
  2. Step 2: Convert to fraction form
    485,461.50/753,752.25 = 753,752.25/x
  3. Step 3: Cross multiply
    485,461.50x = 753,752.25 × 753,752.25
  4. Step 4: Simplify right side
    485,461.50x = 568,142,454,380.06
  5. Step 5: Solve for x
    x = 568,142,454,380.06/485,461.50
  6. Step 6: Final answer
    x = 1,170,314.13

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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.