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Finding the Third Proportional to 352,950.75 and 540,016.88

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Solution

The third proportional to 352,950.75 and 540,016.88 is: 826,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,950.75 : 540,016.88 = 540,016.88 : x
  2. Step 2: Convert to fraction form
    352,950.75/540,016.88 = 540,016.88/x
  3. Step 3: Cross multiply
    352,950.75x = 540,016.88 × 540,016.88
  4. Step 4: Simplify right side
    352,950.75x = 291,618,225,284.77
  5. Step 5: Solve for x
    x = 291,618,225,284.77/352,950.75
  6. Step 6: Final answer
    x = 826,229.23

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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.