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Finding the Third Proportional to 387,569 and 566,017

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Solution

The third proportional to 387,569 and 566,017 is: 826,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,569 : 566,017 = 566,017 : x
  2. Step 2: Convert to fraction form
    387,569/566,017 = 566,017/x
  3. Step 3: Cross multiply
    387,569x = 566,017 × 566,017
  4. Step 4: Simplify right side
    387,569x = 320,375,244,289
  5. Step 5: Solve for x
    x = 320,375,244,289/387,569
  6. Step 6: Final answer
    x = 826,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.