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Finding the Third Proportional to 349,115.06 and 533,833.03

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Solution

The third proportional to 349,115.06 and 533,833.03 is: 816,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,115.06 : 533,833.03 = 533,833.03 : x
  2. Step 2: Convert to fraction form
    349,115.06/533,833.03 = 533,833.03/x
  3. Step 3: Cross multiply
    349,115.06x = 533,833.03 × 533,833.03
  4. Step 4: Simplify right side
    349,115.06x = 284,977,705,253.56
  5. Step 5: Solve for x
    x = 284,977,705,253.56/349,115.06
  6. Step 6: Final answer
    x = 816,285.91

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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.