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Finding the Third Proportional to 408,314 and 598,227

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Solution

The third proportional to 408,314 and 598,227 is: 876,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314 : 598,227 = 598,227 : x
  2. Step 2: Convert to fraction form
    408,314/598,227 = 598,227/x
  3. Step 3: Cross multiply
    408,314x = 598,227 × 598,227
  4. Step 4: Simplify right side
    408,314x = 357,875,543,529
  5. Step 5: Solve for x
    x = 357,875,543,529/408,314
  6. Step 6: Final answer
    x = 876,471.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.