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Finding the Third Proportional to 276,920 and 595,959

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Solution

The third proportional to 276,920 and 595,959 is: 1,282,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,920 : 595,959 = 595,959 : x
  2. Step 2: Convert to fraction form
    276,920/595,959 = 595,959/x
  3. Step 3: Cross multiply
    276,920x = 595,959 × 595,959
  4. Step 4: Simplify right side
    276,920x = 355,167,129,681
  5. Step 5: Solve for x
    x = 355,167,129,681/276,920
  6. Step 6: Final answer
    x = 1,282,562.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.