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Finding the Third Proportional to 396,902.25 and 857,466

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Solution

The third proportional to 396,902.25 and 857,466 is: 1,852,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,902.25 : 857,466 = 857,466 : x
  2. Step 2: Convert to fraction form
    396,902.25/857,466 = 857,466/x
  3. Step 3: Cross multiply
    396,902.25x = 857,466 × 857,466
  4. Step 4: Simplify right side
    396,902.25x = 735,247,941,156
  5. Step 5: Solve for x
    x = 735,247,941,156/396,902.25
  6. Step 6: Final answer
    x = 1,852,466.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.