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Finding the Third Proportional to 317,890.50 and 690,456

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Solution

The third proportional to 317,890.50 and 690,456 is: 1,499,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,890.50 : 690,456 = 690,456 : x
  2. Step 2: Convert to fraction form
    317,890.50/690,456 = 690,456/x
  3. Step 3: Cross multiply
    317,890.50x = 690,456 × 690,456
  4. Step 4: Simplify right side
    317,890.50x = 476,729,487,936
  5. Step 5: Solve for x
    x = 476,729,487,936/317,890.50
  6. Step 6: Final answer
    x = 1,499,665.73

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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.