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Finding the Third Proportional to 387,036 and 586,386

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Solution

The third proportional to 387,036 and 586,386 is: 888,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,036 : 586,386 = 586,386 : x
  2. Step 2: Convert to fraction form
    387,036/586,386 = 586,386/x
  3. Step 3: Cross multiply
    387,036x = 586,386 × 586,386
  4. Step 4: Simplify right side
    387,036x = 343,848,540,996
  5. Step 5: Solve for x
    x = 343,848,540,996/387,036
  6. Step 6: Final answer
    x = 888,414.88

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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.