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Finding the Third Proportional to 205,600 and 448,472

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Solution

The third proportional to 205,600 and 448,472 is: 978,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,600 : 448,472 = 448,472 : x
  2. Step 2: Convert to fraction form
    205,600/448,472 = 448,472/x
  3. Step 3: Cross multiply
    205,600x = 448,472 × 448,472
  4. Step 4: Simplify right side
    205,600x = 201,127,134,784
  5. Step 5: Solve for x
    x = 201,127,134,784/205,600
  6. Step 6: Final answer
    x = 978,244.82

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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.