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Finding the Third Proportional to 185,634 and 404,599

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Solution

The third proportional to 185,634 and 404,599 is: 881,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,634 : 404,599 = 404,599 : x
  2. Step 2: Convert to fraction form
    185,634/404,599 = 404,599/x
  3. Step 3: Cross multiply
    185,634x = 404,599 × 404,599
  4. Step 4: Simplify right side
    185,634x = 163,700,350,801
  5. Step 5: Solve for x
    x = 163,700,350,801/185,634
  6. Step 6: Final answer
    x = 881,844.66

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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.