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Finding the Third Proportional to 398,658 and 599,139

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Solution

The third proportional to 398,658 and 599,139 is: 900,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,658 : 599,139 = 599,139 : x
  2. Step 2: Convert to fraction form
    398,658/599,139 = 599,139/x
  3. Step 3: Cross multiply
    398,658x = 599,139 × 599,139
  4. Step 4: Simplify right side
    398,658x = 358,967,541,321
  5. Step 5: Solve for x
    x = 358,967,541,321/398,658
  6. Step 6: Final answer
    x = 900,439.83

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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.