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Finding the Third Proportional to 491,382 and 763,317.50

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Solution

The third proportional to 491,382 and 763,317.50 is: 1,185,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,382 : 763,317.50 = 763,317.50 : x
  2. Step 2: Convert to fraction form
    491,382/763,317.50 = 763,317.50/x
  3. Step 3: Cross multiply
    491,382x = 763,317.50 × 763,317.50
  4. Step 4: Simplify right side
    491,382x = 582,653,605,806.25
  5. Step 5: Solve for x
    x = 582,653,605,806.25/491,382
  6. Step 6: Final answer
    x = 1,185,744.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.