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Finding the Third Proportional to 396,261 and 772,677

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Solution

The third proportional to 396,261 and 772,677 is: 1,506,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,261 : 772,677 = 772,677 : x
  2. Step 2: Convert to fraction form
    396,261/772,677 = 772,677/x
  3. Step 3: Cross multiply
    396,261x = 772,677 × 772,677
  4. Step 4: Simplify right side
    396,261x = 597,029,746,329
  5. Step 5: Solve for x
    x = 597,029,746,329/396,261
  6. Step 6: Final answer
    x = 1,506,657.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.