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Finding the Third Proportional to 231,782 and 481,328

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Solution

The third proportional to 231,782 and 481,328 is: 999,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,782 : 481,328 = 481,328 : x
  2. Step 2: Convert to fraction form
    231,782/481,328 = 481,328/x
  3. Step 3: Cross multiply
    231,782x = 481,328 × 481,328
  4. Step 4: Simplify right side
    231,782x = 231,676,643,584
  5. Step 5: Solve for x
    x = 231,676,643,584/231,782
  6. Step 6: Final answer
    x = 999,545.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.