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Finding the Third Proportional to 465,712.69 and 700,876.13

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Solution

The third proportional to 465,712.69 and 700,876.13 is: 1,054,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,712.69 : 700,876.13 = 700,876.13 : x
  2. Step 2: Convert to fraction form
    465,712.69/700,876.13 = 700,876.13/x
  3. Step 3: Cross multiply
    465,712.69x = 700,876.13 × 700,876.13
  4. Step 4: Simplify right side
    465,712.69x = 491,227,342,595.02
  5. Step 5: Solve for x
    x = 491,227,342,595.02/465,712.69
  6. Step 6: Final answer
    x = 1,054,786.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.