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Finding the Third Proportional to 276,861 and 433,743

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Solution

The third proportional to 276,861 and 433,743 is: 679,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,861 : 433,743 = 433,743 : x
  2. Step 2: Convert to fraction form
    276,861/433,743 = 433,743/x
  3. Step 3: Cross multiply
    276,861x = 433,743 × 433,743
  4. Step 4: Simplify right side
    276,861x = 188,132,990,049
  5. Step 5: Solve for x
    x = 188,132,990,049/276,861
  6. Step 6: Final answer
    x = 679,521.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.