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Finding the Third Proportional to 387,517.50 and 565,963.88

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Solution

The third proportional to 387,517.50 and 565,963.88 is: 826,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,517.50 : 565,963.88 = 565,963.88 : x
  2. Step 2: Convert to fraction form
    387,517.50/565,963.88 = 565,963.88/x
  3. Step 3: Cross multiply
    387,517.50x = 565,963.88 × 565,963.88
  4. Step 4: Simplify right side
    387,517.50x = 320,315,107,805.02
  5. Step 5: Solve for x
    x = 320,315,107,805.02/387,517.50
  6. Step 6: Final answer
    x = 826,582.30

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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.