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Finding the Third Proportional to 387,344 and 580,824

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Solution

The third proportional to 387,344 and 580,824 is: 870,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,344 : 580,824 = 580,824 : x
  2. Step 2: Convert to fraction form
    387,344/580,824 = 580,824/x
  3. Step 3: Cross multiply
    387,344x = 580,824 × 580,824
  4. Step 4: Simplify right side
    387,344x = 337,356,518,976
  5. Step 5: Solve for x
    x = 337,356,518,976/387,344
  6. Step 6: Final answer
    x = 870,948.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.