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Finding the Third Proportional to 221,713 and 487,733

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Solution

The third proportional to 221,713 and 487,733 is: 1,072,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,713 : 487,733 = 487,733 : x
  2. Step 2: Convert to fraction form
    221,713/487,733 = 487,733/x
  3. Step 3: Cross multiply
    221,713x = 487,733 × 487,733
  4. Step 4: Simplify right side
    221,713x = 237,883,479,289
  5. Step 5: Solve for x
    x = 237,883,479,289/221,713
  6. Step 6: Final answer
    x = 1,072,934.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.