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Finding the Third Proportional to 392,985 and 588,870

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Solution

The third proportional to 392,985 and 588,870 is: 882,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,985 : 588,870 = 588,870 : x
  2. Step 2: Convert to fraction form
    392,985/588,870 = 588,870/x
  3. Step 3: Cross multiply
    392,985x = 588,870 × 588,870
  4. Step 4: Simplify right side
    392,985x = 346,767,876,900
  5. Step 5: Solve for x
    x = 346,767,876,900/392,985
  6. Step 6: Final answer
    x = 882,394.69

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