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Finding the Third Proportional to 398,897 and 598,625

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Solution

The third proportional to 398,897 and 598,625 is: 898,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,897 : 598,625 = 598,625 : x
  2. Step 2: Convert to fraction form
    398,897/598,625 = 598,625/x
  3. Step 3: Cross multiply
    398,897x = 598,625 × 598,625
  4. Step 4: Simplify right side
    398,897x = 358,351,890,625
  5. Step 5: Solve for x
    x = 358,351,890,625/398,897
  6. Step 6: Final answer
    x = 898,356.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.