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Finding the Third Proportional to 244,663 and 537,439

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Solution

The third proportional to 244,663 and 537,439 is: 1,180,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,663 : 537,439 = 537,439 : x
  2. Step 2: Convert to fraction form
    244,663/537,439 = 537,439/x
  3. Step 3: Cross multiply
    244,663x = 537,439 × 537,439
  4. Step 4: Simplify right side
    244,663x = 288,840,678,721
  5. Step 5: Solve for x
    x = 288,840,678,721/244,663
  6. Step 6: Final answer
    x = 1,180,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.