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Finding the Third Proportional to 266,250.75 and 581,290.31

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Solution

The third proportional to 266,250.75 and 581,290.31 is: 1,269,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,250.75 : 581,290.31 = 581,290.31 : x
  2. Step 2: Convert to fraction form
    266,250.75/581,290.31 = 581,290.31/x
  3. Step 3: Cross multiply
    266,250.75x = 581,290.31 × 581,290.31
  4. Step 4: Simplify right side
    266,250.75x = 337,898,427,406.35
  5. Step 5: Solve for x
    x = 337,898,427,406.35/266,250.75
  6. Step 6: Final answer
    x = 1,269,098.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.