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Finding the Third Proportional to 204,088 and 447,560

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Solution

The third proportional to 204,088 and 447,560 is: 981,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,088 : 447,560 = 447,560 : x
  2. Step 2: Convert to fraction form
    204,088/447,560 = 447,560/x
  3. Step 3: Cross multiply
    204,088x = 447,560 × 447,560
  4. Step 4: Simplify right side
    204,088x = 200,309,953,600
  5. Step 5: Solve for x
    x = 200,309,953,600/204,088
  6. Step 6: Final answer
    x = 981,488.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.