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Finding the Third Proportional to 317,383.50 and 491,749.50

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Solution

The third proportional to 317,383.50 and 491,749.50 is: 761,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,383.50 : 491,749.50 = 491,749.50 : x
  2. Step 2: Convert to fraction form
    317,383.50/491,749.50 = 491,749.50/x
  3. Step 3: Cross multiply
    317,383.50x = 491,749.50 × 491,749.50
  4. Step 4: Simplify right side
    317,383.50x = 241,817,570,750.25
  5. Step 5: Solve for x
    x = 241,817,570,750.25/317,383.50
  6. Step 6: Final answer
    x = 761,909.71

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Why These Related Problems?

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