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Finding the Third Proportional to 576,472 and 866,555

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Solution

The third proportional to 576,472 and 866,555 is: 1,302,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,472 : 866,555 = 866,555 : x
  2. Step 2: Convert to fraction form
    576,472/866,555 = 866,555/x
  3. Step 3: Cross multiply
    576,472x = 866,555 × 866,555
  4. Step 4: Simplify right side
    576,472x = 750,917,568,025
  5. Step 5: Solve for x
    x = 750,917,568,025/576,472
  6. Step 6: Final answer
    x = 1,302,608.92

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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.