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Finding the Third Proportional to 467.86 and 703.90

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Solution

The third proportional to 467.86 and 703.90 is: 1,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 703.90 = 703.90 : x
  2. Step 2: Convert to fraction form
    467.86/703.90 = 703.90/x
  3. Step 3: Cross multiply
    467.86x = 703.90 × 703.90
  4. Step 4: Simplify right side
    467.86x = 495,473.01
  5. Step 5: Solve for x
    x = 495,473.01/467.86
  6. Step 6: Final answer
    x = 1,059.02

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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.