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Finding the Third Proportional to 266,766.75 and 406,923.75

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Solution

The third proportional to 266,766.75 and 406,923.75 is: 620,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,766.75 : 406,923.75 = 406,923.75 : x
  2. Step 2: Convert to fraction form
    266,766.75/406,923.75 = 406,923.75/x
  3. Step 3: Cross multiply
    266,766.75x = 406,923.75 × 406,923.75
  4. Step 4: Simplify right side
    266,766.75x = 165,586,938,314.06
  5. Step 5: Solve for x
    x = 165,586,938,314.06/266,766.75
  6. Step 6: Final answer
    x = 620,718.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.