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Finding the Third Proportional to 208,524.38 and 455,275.69

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Solution

The third proportional to 208,524.38 and 455,275.69 is: 994,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.38 : 455,275.69 = 455,275.69 : x
  2. Step 2: Convert to fraction form
    208,524.38/455,275.69 = 455,275.69/x
  3. Step 3: Cross multiply
    208,524.38x = 455,275.69 × 455,275.69
  4. Step 4: Simplify right side
    208,524.38x = 207,275,951,628.60
  5. Step 5: Solve for x
    x = 207,275,951,628.60/208,524.38
  6. Step 6: Final answer
    x = 994,013.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.