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Finding the Third Proportional to 350,633.81 and 533,331.84

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Solution

The third proportional to 350,633.81 and 533,331.84 is: 811,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,633.81 : 533,331.84 = 533,331.84 : x
  2. Step 2: Convert to fraction form
    350,633.81/533,331.84 = 533,331.84/x
  3. Step 3: Cross multiply
    350,633.81x = 533,331.84 × 533,331.84
  4. Step 4: Simplify right side
    350,633.81x = 284,442,855,557.77
  5. Step 5: Solve for x
    x = 284,442,855,557.77/350,633.81
  6. Step 6: Final answer
    x = 811,224.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.