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Finding the Third Proportional to 317,125 and 485,735

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Solution

The third proportional to 317,125 and 485,735 is: 743,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,125 : 485,735 = 485,735 : x
  2. Step 2: Convert to fraction form
    317,125/485,735 = 485,735/x
  3. Step 3: Cross multiply
    317,125x = 485,735 × 485,735
  4. Step 4: Simplify right side
    317,125x = 235,938,490,225
  5. Step 5: Solve for x
    x = 235,938,490,225/317,125
  6. Step 6: Final answer
    x = 743,992.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.