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Finding the Third Proportional to 213,297.38 and 452,838.75

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Solution

The third proportional to 213,297.38 and 452,838.75 is: 961,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,297.38 : 452,838.75 = 452,838.75 : x
  2. Step 2: Convert to fraction form
    213,297.38/452,838.75 = 452,838.75/x
  3. Step 3: Cross multiply
    213,297.38x = 452,838.75 × 452,838.75
  4. Step 4: Simplify right side
    213,297.38x = 205,062,933,501.56
  5. Step 5: Solve for x
    x = 205,062,933,501.56/213,297.38
  6. Step 6: Final answer
    x = 961,394.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.