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Finding the Third Proportional to 317,349 and 660,933

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Solution

The third proportional to 317,349 and 660,933 is: 1,376,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,349 : 660,933 = 660,933 : x
  2. Step 2: Convert to fraction form
    317,349/660,933 = 660,933/x
  3. Step 3: Cross multiply
    317,349x = 660,933 × 660,933
  4. Step 4: Simplify right side
    317,349x = 436,832,430,489
  5. Step 5: Solve for x
    x = 436,832,430,489/317,349
  6. Step 6: Final answer
    x = 1,376,504.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.