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Finding the Third Proportional to 266,201.56 and 577,317.63

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Solution

The third proportional to 266,201.56 and 577,317.63 is: 1,252,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,201.56 : 577,317.63 = 577,317.63 : x
  2. Step 2: Convert to fraction form
    266,201.56/577,317.63 = 577,317.63/x
  3. Step 3: Cross multiply
    266,201.56x = 577,317.63 × 577,317.63
  4. Step 4: Simplify right side
    266,201.56x = 333,295,640,135.64
  5. Step 5: Solve for x
    x = 333,295,640,135.64/266,201.56
  6. Step 6: Final answer
    x = 1,252,042.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.