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Finding the Third Proportional to 361,453.50 and 538,233.75

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Solution

The third proportional to 361,453.50 and 538,233.75 is: 801,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,453.50 : 538,233.75 = 538,233.75 : x
  2. Step 2: Convert to fraction form
    361,453.50/538,233.75 = 538,233.75/x
  3. Step 3: Cross multiply
    361,453.50x = 538,233.75 × 538,233.75
  4. Step 4: Simplify right side
    361,453.50x = 289,695,569,639.06
  5. Step 5: Solve for x
    x = 289,695,569,639.06/361,453.50
  6. Step 6: Final answer
    x = 801,473.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.