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Finding the Third Proportional to 227,412 and 482,549

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Solution

The third proportional to 227,412 and 482,549 is: 1,023,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412 : 482,549 = 482,549 : x
  2. Step 2: Convert to fraction form
    227,412/482,549 = 482,549/x
  3. Step 3: Cross multiply
    227,412x = 482,549 × 482,549
  4. Step 4: Simplify right side
    227,412x = 232,853,537,401
  5. Step 5: Solve for x
    x = 232,853,537,401/227,412
  6. Step 6: Final answer
    x = 1,023,928.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.