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Finding the Third Proportional to 466,731.75 and 720,825

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Solution

The third proportional to 466,731.75 and 720,825 is: 1,113,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,731.75 : 720,825 = 720,825 : x
  2. Step 2: Convert to fraction form
    466,731.75/720,825 = 720,825/x
  3. Step 3: Cross multiply
    466,731.75x = 720,825 × 720,825
  4. Step 4: Simplify right side
    466,731.75x = 519,588,680,625
  5. Step 5: Solve for x
    x = 519,588,680,625/466,731.75
  6. Step 6: Final answer
    x = 1,113,249.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.