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Finding the Third Proportional to 244,677 and 356,364

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Solution

The third proportional to 244,677 and 356,364 is: 519,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,677 : 356,364 = 356,364 : x
  2. Step 2: Convert to fraction form
    244,677/356,364 = 356,364/x
  3. Step 3: Cross multiply
    244,677x = 356,364 × 356,364
  4. Step 4: Simplify right side
    244,677x = 126,995,300,496
  5. Step 5: Solve for x
    x = 126,995,300,496/244,677
  6. Step 6: Final answer
    x = 519,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.