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Finding the Third Proportional to 317,648.25 and 477,184.50

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Solution

The third proportional to 317,648.25 and 477,184.50 is: 716,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,648.25 : 477,184.50 = 477,184.50 : x
  2. Step 2: Convert to fraction form
    317,648.25/477,184.50 = 477,184.50/x
  3. Step 3: Cross multiply
    317,648.25x = 477,184.50 × 477,184.50
  4. Step 4: Simplify right side
    317,648.25x = 227,705,047,040.25
  5. Step 5: Solve for x
    x = 227,705,047,040.25/317,648.25
  6. Step 6: Final answer
    x = 716,846.53

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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.