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Finding the Third Proportional to 498,948.75 and 767,796.75

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Solution

The third proportional to 498,948.75 and 767,796.75 is: 1,181,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,948.75 : 767,796.75 = 767,796.75 : x
  2. Step 2: Convert to fraction form
    498,948.75/767,796.75 = 767,796.75/x
  3. Step 3: Cross multiply
    498,948.75x = 767,796.75 × 767,796.75
  4. Step 4: Simplify right side
    498,948.75x = 589,511,849,310.56
  5. Step 5: Solve for x
    x = 589,511,849,310.56/498,948.75
  6. Step 6: Final answer
    x = 1,181,507.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.