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Finding the Third Proportional to 491,764.50 and 742,164.75

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Solution

The third proportional to 491,764.50 and 742,164.75 is: 1,120,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,764.50 : 742,164.75 = 742,164.75 : x
  2. Step 2: Convert to fraction form
    491,764.50/742,164.75 = 742,164.75/x
  3. Step 3: Cross multiply
    491,764.50x = 742,164.75 × 742,164.75
  4. Step 4: Simplify right side
    491,764.50x = 550,808,516,142.56
  5. Step 5: Solve for x
    x = 550,808,516,142.56/491,764.50
  6. Step 6: Final answer
    x = 1,120,065.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.