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Finding the Third Proportional to 185,426 and 404,692

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Solution

The third proportional to 185,426 and 404,692 is: 883,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,426 : 404,692 = 404,692 : x
  2. Step 2: Convert to fraction form
    185,426/404,692 = 404,692/x
  3. Step 3: Cross multiply
    185,426x = 404,692 × 404,692
  4. Step 4: Simplify right side
    185,426x = 163,775,614,864
  5. Step 5: Solve for x
    x = 163,775,614,864/185,426
  6. Step 6: Final answer
    x = 883,239.76

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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.