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Finding the Third Proportional to 267,287.34 and 581,628.09

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Solution

The third proportional to 267,287.34 and 581,628.09 is: 1,265,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,287.34 : 581,628.09 = 581,628.09 : x
  2. Step 2: Convert to fraction form
    267,287.34/581,628.09 = 581,628.09/x
  3. Step 3: Cross multiply
    267,287.34x = 581,628.09 × 581,628.09
  4. Step 4: Simplify right side
    267,287.34x = 338,291,239,439.26
  5. Step 5: Solve for x
    x = 338,291,239,439.26/267,287.34
  6. Step 6: Final answer
    x = 1,265,646.31

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