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Finding the Third Proportional to 276,076 and 591,524

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Solution

The third proportional to 276,076 and 591,524 is: 1,267,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,076 : 591,524 = 591,524 : x
  2. Step 2: Convert to fraction form
    276,076/591,524 = 591,524/x
  3. Step 3: Cross multiply
    276,076x = 591,524 × 591,524
  4. Step 4: Simplify right side
    276,076x = 349,900,642,576
  5. Step 5: Solve for x
    x = 349,900,642,576/276,076
  6. Step 6: Final answer
    x = 1,267,406.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.