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Finding the Third Proportional to 491,047.50 and 766,416.75

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Solution

The third proportional to 491,047.50 and 766,416.75 is: 1,196,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,047.50 : 766,416.75 = 766,416.75 : x
  2. Step 2: Convert to fraction form
    491,047.50/766,416.75 = 766,416.75/x
  3. Step 3: Cross multiply
    491,047.50x = 766,416.75 × 766,416.75
  4. Step 4: Simplify right side
    491,047.50x = 587,394,634,680.56
  5. Step 5: Solve for x
    x = 587,394,634,680.56/491,047.50
  6. Step 6: Final answer
    x = 1,196,207.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.