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Finding the Third Proportional to 266,177.81 and 580,527

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Solution

The third proportional to 266,177.81 and 580,527 is: 1,266,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,177.81 : 580,527 = 580,527 : x
  2. Step 2: Convert to fraction form
    266,177.81/580,527 = 580,527/x
  3. Step 3: Cross multiply
    266,177.81x = 580,527 × 580,527
  4. Step 4: Simplify right side
    266,177.81x = 337,011,597,729
  5. Step 5: Solve for x
    x = 337,011,597,729/266,177.81
  6. Step 6: Final answer
    x = 1,266,114.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.