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Finding the Third Proportional to 485,472.75 and 753,769.13

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Solution

The third proportional to 485,472.75 and 753,769.13 is: 1,170,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,472.75 : 753,769.13 = 753,769.13 : x
  2. Step 2: Convert to fraction form
    485,472.75/753,769.13 = 753,769.13/x
  3. Step 3: Cross multiply
    485,472.75x = 753,769.13 × 753,769.13
  4. Step 4: Simplify right side
    485,472.75x = 568,167,893,803.27
  5. Step 5: Solve for x
    x = 568,167,893,803.27/485,472.75
  6. Step 6: Final answer
    x = 1,170,339.41

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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.