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Finding the Third Proportional to 266,571 and 592,191

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Solution

The third proportional to 266,571 and 592,191 is: 1,315,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,571 : 592,191 = 592,191 : x
  2. Step 2: Convert to fraction form
    266,571/592,191 = 592,191/x
  3. Step 3: Cross multiply
    266,571x = 592,191 × 592,191
  4. Step 4: Simplify right side
    266,571x = 350,690,180,481
  5. Step 5: Solve for x
    x = 350,690,180,481/266,571
  6. Step 6: Final answer
    x = 1,315,560.13

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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.