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Finding the Third Proportional to 350,248.50 and 534,120.75

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Solution

The third proportional to 350,248.50 and 534,120.75 is: 814,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,248.50 : 534,120.75 = 534,120.75 : x
  2. Step 2: Convert to fraction form
    350,248.50/534,120.75 = 534,120.75/x
  3. Step 3: Cross multiply
    350,248.50x = 534,120.75 × 534,120.75
  4. Step 4: Simplify right side
    350,248.50x = 285,284,975,580.56
  5. Step 5: Solve for x
    x = 285,284,975,580.56/350,248.50
  6. Step 6: Final answer
    x = 814,521.62

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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.