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Finding the Third Proportional to 224,586 and 482,031

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Solution

The third proportional to 224,586 and 482,031 is: 1,034,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,586 : 482,031 = 482,031 : x
  2. Step 2: Convert to fraction form
    224,586/482,031 = 482,031/x
  3. Step 3: Cross multiply
    224,586x = 482,031 × 482,031
  4. Step 4: Simplify right side
    224,586x = 232,353,884,961
  5. Step 5: Solve for x
    x = 232,353,884,961/224,586
  6. Step 6: Final answer
    x = 1,034,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.