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Finding the Third Proportional to 266,263.50 and 584,163.75

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Solution

The third proportional to 266,263.50 and 584,163.75 is: 1,281,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,263.50 : 584,163.75 = 584,163.75 : x
  2. Step 2: Convert to fraction form
    266,263.50/584,163.75 = 584,163.75/x
  3. Step 3: Cross multiply
    266,263.50x = 584,163.75 × 584,163.75
  4. Step 4: Simplify right side
    266,263.50x = 341,247,286,814.06
  5. Step 5: Solve for x
    x = 341,247,286,814.06/266,263.50
  6. Step 6: Final answer
    x = 1,281,614.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.