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Finding the Third Proportional to 317,637.75 and 477,165.75

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Solution

The third proportional to 317,637.75 and 477,165.75 is: 716,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,637.75 : 477,165.75 = 477,165.75 : x
  2. Step 2: Convert to fraction form
    317,637.75/477,165.75 = 477,165.75/x
  3. Step 3: Cross multiply
    317,637.75x = 477,165.75 × 477,165.75
  4. Step 4: Simplify right side
    317,637.75x = 227,687,152,973.06
  5. Step 5: Solve for x
    x = 227,687,152,973.06/317,637.75
  6. Step 6: Final answer
    x = 716,813.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.