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Finding the Third Proportional to 276,024 and 591,396

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Solution

The third proportional to 276,024 and 591,396 is: 1,267,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,024 : 591,396 = 591,396 : x
  2. Step 2: Convert to fraction form
    276,024/591,396 = 591,396/x
  3. Step 3: Cross multiply
    276,024x = 591,396 × 591,396
  4. Step 4: Simplify right side
    276,024x = 349,749,228,816
  5. Step 5: Solve for x
    x = 349,749,228,816/276,024
  6. Step 6: Final answer
    x = 1,267,097.17

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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.