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Finding the Third Proportional to 276,914 and 600,484

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Solution

The third proportional to 276,914 and 600,484 is: 1,302,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,914 : 600,484 = 600,484 : x
  2. Step 2: Convert to fraction form
    276,914/600,484 = 600,484/x
  3. Step 3: Cross multiply
    276,914x = 600,484 × 600,484
  4. Step 4: Simplify right side
    276,914x = 360,581,034,256
  5. Step 5: Solve for x
    x = 360,581,034,256/276,914
  6. Step 6: Final answer
    x = 1,302,140.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.