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Finding the Third Proportional to 276,264 and 602,496

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Solution

The third proportional to 276,264 and 602,496 is: 1,313,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,264 : 602,496 = 602,496 : x
  2. Step 2: Convert to fraction form
    276,264/602,496 = 602,496/x
  3. Step 3: Cross multiply
    276,264x = 602,496 × 602,496
  4. Step 4: Simplify right side
    276,264x = 363,001,430,016
  5. Step 5: Solve for x
    x = 363,001,430,016/276,264
  6. Step 6: Final answer
    x = 1,313,965.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.