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Finding the Third Proportional to 396,990 and 857,403

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Solution

The third proportional to 396,990 and 857,403 is: 1,851,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,990 : 857,403 = 857,403 : x
  2. Step 2: Convert to fraction form
    396,990/857,403 = 857,403/x
  3. Step 3: Cross multiply
    396,990x = 857,403 × 857,403
  4. Step 4: Simplify right side
    396,990x = 735,139,904,409
  5. Step 5: Solve for x
    x = 735,139,904,409/396,990
  6. Step 6: Final answer
    x = 1,851,784.44

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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.