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Finding the Third Proportional to 387,042 and 586,395

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Solution

The third proportional to 387,042 and 586,395 is: 888,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,042 : 586,395 = 586,395 : x
  2. Step 2: Convert to fraction form
    387,042/586,395 = 586,395/x
  3. Step 3: Cross multiply
    387,042x = 586,395 × 586,395
  4. Step 4: Simplify right side
    387,042x = 343,859,096,025
  5. Step 5: Solve for x
    x = 343,859,096,025/387,042
  6. Step 6: Final answer
    x = 888,428.38

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