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Finding the Third Proportional to 394,569 and 610,269

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Solution

The third proportional to 394,569 and 610,269 is: 943,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,569 : 610,269 = 610,269 : x
  2. Step 2: Convert to fraction form
    394,569/610,269 = 610,269/x
  3. Step 3: Cross multiply
    394,569x = 610,269 × 610,269
  4. Step 4: Simplify right side
    394,569x = 372,428,252,361
  5. Step 5: Solve for x
    x = 372,428,252,361/394,569
  6. Step 6: Final answer
    x = 943,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.