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Finding the Third Proportional to 317,103.75 and 422,734.50

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Solution

The third proportional to 317,103.75 and 422,734.50 is: 563,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,103.75 : 422,734.50 = 422,734.50 : x
  2. Step 2: Convert to fraction form
    317,103.75/422,734.50 = 422,734.50/x
  3. Step 3: Cross multiply
    317,103.75x = 422,734.50 × 422,734.50
  4. Step 4: Simplify right side
    317,103.75x = 178,704,457,490.25
  5. Step 5: Solve for x
    x = 178,704,457,490.25/317,103.75
  6. Step 6: Final answer
    x = 563,552.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.