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Finding the Third Proportional to 276,914 and 595,948

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Solution

The third proportional to 276,914 and 595,948 is: 1,282,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,914 : 595,948 = 595,948 : x
  2. Step 2: Convert to fraction form
    276,914/595,948 = 595,948/x
  3. Step 3: Cross multiply
    276,914x = 595,948 × 595,948
  4. Step 4: Simplify right side
    276,914x = 355,154,018,704
  5. Step 5: Solve for x
    x = 355,154,018,704/276,914
  6. Step 6: Final answer
    x = 1,282,542.66

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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.