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Finding the Third Proportional to 224,570 and 486,517

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Solution

The third proportional to 224,570 and 486,517 is: 1,054,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,570 : 486,517 = 486,517 : x
  2. Step 2: Convert to fraction form
    224,570/486,517 = 486,517/x
  3. Step 3: Cross multiply
    224,570x = 486,517 × 486,517
  4. Step 4: Simplify right side
    224,570x = 236,698,791,289
  5. Step 5: Solve for x
    x = 236,698,791,289/224,570
  6. Step 6: Final answer
    x = 1,054,008.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.