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Finding the Third Proportional to 398,855 and 598,559

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Solution

The third proportional to 398,855 and 598,559 is: 898,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,855 : 598,559 = 598,559 : x
  2. Step 2: Convert to fraction form
    398,855/598,559 = 598,559/x
  3. Step 3: Cross multiply
    398,855x = 598,559 × 598,559
  4. Step 4: Simplify right side
    398,855x = 358,272,876,481
  5. Step 5: Solve for x
    x = 358,272,876,481/398,855
  6. Step 6: Final answer
    x = 898,253.44

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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.