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Finding the Third Proportional to 317,046.75 and 747,667.50

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Solution

The third proportional to 317,046.75 and 747,667.50 is: 1,763,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,046.75 : 747,667.50 = 747,667.50 : x
  2. Step 2: Convert to fraction form
    317,046.75/747,667.50 = 747,667.50/x
  3. Step 3: Cross multiply
    317,046.75x = 747,667.50 × 747,667.50
  4. Step 4: Simplify right side
    317,046.75x = 559,006,690,556.25
  5. Step 5: Solve for x
    x = 559,006,690,556.25/317,046.75
  6. Step 6: Final answer
    x = 1,763,168.02

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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.