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Finding the Third Proportional to 224,569 and 487,281

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Solution

The third proportional to 224,569 and 487,281 is: 1,057,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569 : 487,281 = 487,281 : x
  2. Step 2: Convert to fraction form
    224,569/487,281 = 487,281/x
  3. Step 3: Cross multiply
    224,569x = 487,281 × 487,281
  4. Step 4: Simplify right side
    224,569x = 237,442,772,961
  5. Step 5: Solve for x
    x = 237,442,772,961/224,569
  6. Step 6: Final answer
    x = 1,057,326.58

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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.