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Finding the Third Proportional to 185,305 and 404,594

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Solution

The third proportional to 185,305 and 404,594 is: 883,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,305 : 404,594 = 404,594 : x
  2. Step 2: Convert to fraction form
    185,305/404,594 = 404,594/x
  3. Step 3: Cross multiply
    185,305x = 404,594 × 404,594
  4. Step 4: Simplify right side
    185,305x = 163,696,304,836
  5. Step 5: Solve for x
    x = 163,696,304,836/185,305
  6. Step 6: Final answer
    x = 883,388.49

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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.