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Finding the Third Proportional to 330,166.13 and 524,793.94

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Solution

The third proportional to 330,166.13 and 524,793.94 is: 834,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,166.13 : 524,793.94 = 524,793.94 : x
  2. Step 2: Convert to fraction form
    330,166.13/524,793.94 = 524,793.94/x
  3. Step 3: Cross multiply
    330,166.13x = 524,793.94 × 524,793.94
  4. Step 4: Simplify right side
    330,166.13x = 275,408,676,836.75
  5. Step 5: Solve for x
    x = 275,408,676,836.75/330,166.13
  6. Step 6: Final answer
    x = 834,151.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.