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Finding the Third Proportional to 266,264.72 and 577,671.75

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Solution

The third proportional to 266,264.72 and 577,671.75 is: 1,253,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,264.72 : 577,671.75 = 577,671.75 : x
  2. Step 2: Convert to fraction form
    266,264.72/577,671.75 = 577,671.75/x
  3. Step 3: Cross multiply
    266,264.72x = 577,671.75 × 577,671.75
  4. Step 4: Simplify right side
    266,264.72x = 333,704,650,748.06
  5. Step 5: Solve for x
    x = 333,704,650,748.06/266,264.72
  6. Step 6: Final answer
    x = 1,253,281.52

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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.