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Finding the Third Proportional to 276,414.75 and 602,856

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Solution

The third proportional to 276,414.75 and 602,856 is: 1,314,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,414.75 : 602,856 = 602,856 : x
  2. Step 2: Convert to fraction form
    276,414.75/602,856 = 602,856/x
  3. Step 3: Cross multiply
    276,414.75x = 602,856 × 602,856
  4. Step 4: Simplify right side
    276,414.75x = 363,435,356,736
  5. Step 5: Solve for x
    x = 363,435,356,736/276,414.75
  6. Step 6: Final answer
    x = 1,314,818.97

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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.