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Finding the Third Proportional to 588,978 and 918,459

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Solution

The third proportional to 588,978 and 918,459 is: 1,432,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,978 : 918,459 = 918,459 : x
  2. Step 2: Convert to fraction form
    588,978/918,459 = 918,459/x
  3. Step 3: Cross multiply
    588,978x = 918,459 × 918,459
  4. Step 4: Simplify right side
    588,978x = 843,566,934,681
  5. Step 5: Solve for x
    x = 843,566,934,681/588,978
  6. Step 6: Final answer
    x = 1,432,255.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.