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Finding the Third Proportional to 317,180.81 and 485,817.75

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Solution

The third proportional to 317,180.81 and 485,817.75 is: 744,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,180.81 : 485,817.75 = 485,817.75 : x
  2. Step 2: Convert to fraction form
    317,180.81/485,817.75 = 485,817.75/x
  3. Step 3: Cross multiply
    317,180.81x = 485,817.75 × 485,817.75
  4. Step 4: Simplify right side
    317,180.81x = 236,018,886,215.06
  5. Step 5: Solve for x
    x = 236,018,886,215.06/317,180.81
  6. Step 6: Final answer
    x = 744,114.64

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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.