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Finding the Third Proportional to 498,364.31 and 766,956.09

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Solution

The third proportional to 498,364.31 and 766,956.09 is: 1,180,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,364.31 : 766,956.09 = 766,956.09 : x
  2. Step 2: Convert to fraction form
    498,364.31/766,956.09 = 766,956.09/x
  3. Step 3: Cross multiply
    498,364.31x = 766,956.09 × 766,956.09
  4. Step 4: Simplify right side
    498,364.31x = 588,221,649,740.26
  5. Step 5: Solve for x
    x = 588,221,649,740.26/498,364.31
  6. Step 6: Final answer
    x = 1,180,304.52

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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.