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Finding the Third Proportional to 317,182 and 485,819.50

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Solution

The third proportional to 317,182 and 485,819.50 is: 744,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,182 : 485,819.50 = 485,819.50 : x
  2. Step 2: Convert to fraction form
    317,182/485,819.50 = 485,819.50/x
  3. Step 3: Cross multiply
    317,182x = 485,819.50 × 485,819.50
  4. Step 4: Simplify right side
    317,182x = 236,020,586,580.25
  5. Step 5: Solve for x
    x = 236,020,586,580.25/317,182
  6. Step 6: Final answer
    x = 744,117.22

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