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Finding the Third Proportional to 349,104.38 and 533,801.81

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Solution

The third proportional to 349,104.38 and 533,801.81 is: 816,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,104.38 : 533,801.81 = 533,801.81 : x
  2. Step 2: Convert to fraction form
    349,104.38/533,801.81 = 533,801.81/x
  3. Step 3: Cross multiply
    349,104.38x = 533,801.81 × 533,801.81
  4. Step 4: Simplify right side
    349,104.38x = 284,944,375,028.29
  5. Step 5: Solve for x
    x = 284,944,375,028.29/349,104.38
  6. Step 6: Final answer
    x = 816,215.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.