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Finding the Third Proportional to 398,344 and 597,948

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Solution

The third proportional to 398,344 and 597,948 is: 897,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,344 : 597,948 = 597,948 : x
  2. Step 2: Convert to fraction form
    398,344/597,948 = 597,948/x
  3. Step 3: Cross multiply
    398,344x = 597,948 × 597,948
  4. Step 4: Simplify right side
    398,344x = 357,541,810,704
  5. Step 5: Solve for x
    x = 357,541,810,704/398,344
  6. Step 6: Final answer
    x = 897,570.47

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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.