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Finding the Third Proportional to 266,577.75 and 422,047.13

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Solution

The third proportional to 266,577.75 and 422,047.13 is: 668,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,577.75 : 422,047.13 = 422,047.13 : x
  2. Step 2: Convert to fraction form
    266,577.75/422,047.13 = 422,047.13/x
  3. Step 3: Cross multiply
    266,577.75x = 422,047.13 × 422,047.13
  4. Step 4: Simplify right side
    266,577.75x = 178,123,775,720.77
  5. Step 5: Solve for x
    x = 178,123,775,720.77/266,577.75
  6. Step 6: Final answer
    x = 668,186.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.