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Finding the Third Proportional to 323,768 and 491,484

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Solution

The third proportional to 323,768 and 491,484 is: 746,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,768 : 491,484 = 491,484 : x
  2. Step 2: Convert to fraction form
    323,768/491,484 = 491,484/x
  3. Step 3: Cross multiply
    323,768x = 491,484 × 491,484
  4. Step 4: Simplify right side
    323,768x = 241,556,522,256
  5. Step 5: Solve for x
    x = 241,556,522,256/323,768
  6. Step 6: Final answer
    x = 746,079.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.