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Finding the Third Proportional to 398,577 and 592,188

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Solution

The third proportional to 398,577 and 592,188 is: 879,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,577 : 592,188 = 592,188 : x
  2. Step 2: Convert to fraction form
    398,577/592,188 = 592,188/x
  3. Step 3: Cross multiply
    398,577x = 592,188 × 592,188
  4. Step 4: Simplify right side
    398,577x = 350,686,627,344
  5. Step 5: Solve for x
    x = 350,686,627,344/398,577
  6. Step 6: Final answer
    x = 879,846.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.