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Finding the Third Proportional to 266,028 and 591,108

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Solution

The third proportional to 266,028 and 591,108 is: 1,313,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,028 : 591,108 = 591,108 : x
  2. Step 2: Convert to fraction form
    266,028/591,108 = 591,108/x
  3. Step 3: Cross multiply
    266,028x = 591,108 × 591,108
  4. Step 4: Simplify right side
    266,028x = 349,408,667,664
  5. Step 5: Solve for x
    x = 349,408,667,664/266,028
  6. Step 6: Final answer
    x = 1,313,428.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.