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Finding the Third Proportional to 393,651 and 590,374

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Solution

The third proportional to 393,651 and 590,374 is: 885,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,651 : 590,374 = 590,374 : x
  2. Step 2: Convert to fraction form
    393,651/590,374 = 590,374/x
  3. Step 3: Cross multiply
    393,651x = 590,374 × 590,374
  4. Step 4: Simplify right side
    393,651x = 348,541,459,876
  5. Step 5: Solve for x
    x = 348,541,459,876/393,651
  6. Step 6: Final answer
    x = 885,407.28

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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.