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Finding the Third Proportional to 613,617 and 861,376.50

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Solution

The third proportional to 613,617 and 861,376.50 is: 1,209,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,617 : 861,376.50 = 861,376.50 : x
  2. Step 2: Convert to fraction form
    613,617/861,376.50 = 861,376.50/x
  3. Step 3: Cross multiply
    613,617x = 861,376.50 × 861,376.50
  4. Step 4: Simplify right side
    613,617x = 741,969,474,752.25
  5. Step 5: Solve for x
    x = 741,969,474,752.25/613,617
  6. Step 6: Final answer
    x = 1,209,173.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.