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Finding the Third Proportional to 467,151.75 and 700,728.75

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Solution

The third proportional to 467,151.75 and 700,728.75 is: 1,051,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,151.75 : 700,728.75 = 700,728.75 : x
  2. Step 2: Convert to fraction form
    467,151.75/700,728.75 = 700,728.75/x
  3. Step 3: Cross multiply
    467,151.75x = 700,728.75 × 700,728.75
  4. Step 4: Simplify right side
    467,151.75x = 491,020,781,076.56
  5. Step 5: Solve for x
    x = 491,020,781,076.56/467,151.75
  6. Step 6: Final answer
    x = 1,051,094.81

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Why These Related Problems?

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