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Finding the Third Proportional to 387,007 and 586,349

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Solution

The third proportional to 387,007 and 586,349 is: 888,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,007 : 586,349 = 586,349 : x
  2. Step 2: Convert to fraction form
    387,007/586,349 = 586,349/x
  3. Step 3: Cross multiply
    387,007x = 586,349 × 586,349
  4. Step 4: Simplify right side
    387,007x = 343,805,149,801
  5. Step 5: Solve for x
    x = 343,805,149,801/387,007
  6. Step 6: Final answer
    x = 888,369.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.