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Finding the Third Proportional to 323,476 and 701,934

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Solution

The third proportional to 323,476 and 701,934 is: 1,523,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,476 : 701,934 = 701,934 : x
  2. Step 2: Convert to fraction form
    323,476/701,934 = 701,934/x
  3. Step 3: Cross multiply
    323,476x = 701,934 × 701,934
  4. Step 4: Simplify right side
    323,476x = 492,711,340,356
  5. Step 5: Solve for x
    x = 492,711,340,356/323,476
  6. Step 6: Final answer
    x = 1,523,177.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.