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Finding the Third Proportional to 213,411.38 and 321,524.44

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Solution

The third proportional to 213,411.38 and 321,524.44 is: 484,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,411.38 : 321,524.44 = 321,524.44 : x
  2. Step 2: Convert to fraction form
    213,411.38/321,524.44 = 321,524.44/x
  3. Step 3: Cross multiply
    213,411.38x = 321,524.44 × 321,524.44
  4. Step 4: Simplify right side
    213,411.38x = 103,377,963,909.69
  5. Step 5: Solve for x
    x = 103,377,963,909.69/213,411.38
  6. Step 6: Final answer
    x = 484,407.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.