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Finding the Third Proportional to 317,887.50 and 690,450

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Solution

The third proportional to 317,887.50 and 690,450 is: 1,499,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,887.50 : 690,450 = 690,450 : x
  2. Step 2: Convert to fraction form
    317,887.50/690,450 = 690,450/x
  3. Step 3: Cross multiply
    317,887.50x = 690,450 × 690,450
  4. Step 4: Simplify right side
    317,887.50x = 476,721,202,500
  5. Step 5: Solve for x
    x = 476,721,202,500/317,887.50
  6. Step 6: Final answer
    x = 1,499,653.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.