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Finding the Third Proportional to 398,340 and 597,942

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Solution

The third proportional to 398,340 and 597,942 is: 897,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,340 : 597,942 = 597,942 : x
  2. Step 2: Convert to fraction form
    398,340/597,942 = 597,942/x
  3. Step 3: Cross multiply
    398,340x = 597,942 × 597,942
  4. Step 4: Simplify right side
    398,340x = 357,534,635,364
  5. Step 5: Solve for x
    x = 357,534,635,364/398,340
  6. Step 6: Final answer
    x = 897,561.47

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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.