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Finding the Third Proportional to 276,104 and 591,552

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Solution

The third proportional to 276,104 and 591,552 is: 1,267,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,104 : 591,552 = 591,552 : x
  2. Step 2: Convert to fraction form
    276,104/591,552 = 591,552/x
  3. Step 3: Cross multiply
    276,104x = 591,552 × 591,552
  4. Step 4: Simplify right side
    276,104x = 349,933,768,704
  5. Step 5: Solve for x
    x = 349,933,768,704/276,104
  6. Step 6: Final answer
    x = 1,267,398.40

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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.