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Finding the Third Proportional to 266,515.31 and 575,702.44

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Solution

The third proportional to 266,515.31 and 575,702.44 is: 1,243,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,515.31 : 575,702.44 = 575,702.44 : x
  2. Step 2: Convert to fraction form
    266,515.31/575,702.44 = 575,702.44/x
  3. Step 3: Cross multiply
    266,515.31x = 575,702.44 × 575,702.44
  4. Step 4: Simplify right side
    266,515.31x = 331,433,296,543.44
  5. Step 5: Solve for x
    x = 331,433,296,543.44/266,515.31
  6. Step 6: Final answer
    x = 1,243,580.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.