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Finding the Third Proportional to 276,612 and 625,034

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Solution

The third proportional to 276,612 and 625,034 is: 1,412,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,612 : 625,034 = 625,034 : x
  2. Step 2: Convert to fraction form
    276,612/625,034 = 625,034/x
  3. Step 3: Cross multiply
    276,612x = 625,034 × 625,034
  4. Step 4: Simplify right side
    276,612x = 390,667,501,156
  5. Step 5: Solve for x
    x = 390,667,501,156/276,612
  6. Step 6: Final answer
    x = 1,412,330.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.