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Finding the Third Proportional to 317,113.50 and 491,116.50

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Solution

The third proportional to 317,113.50 and 491,116.50 is: 760,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,113.50 : 491,116.50 = 491,116.50 : x
  2. Step 2: Convert to fraction form
    317,113.50/491,116.50 = 491,116.50/x
  3. Step 3: Cross multiply
    317,113.50x = 491,116.50 × 491,116.50
  4. Step 4: Simplify right side
    317,113.50x = 241,195,416,572.25
  5. Step 5: Solve for x
    x = 241,195,416,572.25/317,113.50
  6. Step 6: Final answer
    x = 760,596.49

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