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Finding the Third Proportional to 267,097.50 and 586,683

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Solution

The third proportional to 267,097.50 and 586,683 is: 1,288,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,097.50 : 586,683 = 586,683 : x
  2. Step 2: Convert to fraction form
    267,097.50/586,683 = 586,683/x
  3. Step 3: Cross multiply
    267,097.50x = 586,683 × 586,683
  4. Step 4: Simplify right side
    267,097.50x = 344,196,942,489
  5. Step 5: Solve for x
    x = 344,196,942,489/267,097.50
  6. Step 6: Final answer
    x = 1,288,656.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.