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Finding the Third Proportional to 276,972 and 602,552

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Solution

The third proportional to 276,972 and 602,552 is: 1,310,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,972 : 602,552 = 602,552 : x
  2. Step 2: Convert to fraction form
    276,972/602,552 = 602,552/x
  3. Step 3: Cross multiply
    276,972x = 602,552 × 602,552
  4. Step 4: Simplify right side
    276,972x = 363,068,912,704
  5. Step 5: Solve for x
    x = 363,068,912,704/276,972
  6. Step 6: Final answer
    x = 1,310,850.60

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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.