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Finding the Third Proportional to 276,128 and 591,586

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Solution

The third proportional to 276,128 and 591,586 is: 1,267,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,128 : 591,586 = 591,586 : x
  2. Step 2: Convert to fraction form
    276,128/591,586 = 591,586/x
  3. Step 3: Cross multiply
    276,128x = 591,586 × 591,586
  4. Step 4: Simplify right side
    276,128x = 349,973,995,396
  5. Step 5: Solve for x
    x = 349,973,995,396/276,128
  6. Step 6: Final answer
    x = 1,267,433.93

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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.