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Finding the Third Proportional to 317,037.75 and 747,643.50

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Solution

The third proportional to 317,037.75 and 747,643.50 is: 1,763,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,037.75 : 747,643.50 = 747,643.50 : x
  2. Step 2: Convert to fraction form
    317,037.75/747,643.50 = 747,643.50/x
  3. Step 3: Cross multiply
    317,037.75x = 747,643.50 × 747,643.50
  4. Step 4: Simplify right side
    317,037.75x = 558,970,803,092.25
  5. Step 5: Solve for x
    x = 558,970,803,092.25/317,037.75
  6. Step 6: Final answer
    x = 1,763,104.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.