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Finding the Third Proportional to 299,474 and 655,216

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Solution

The third proportional to 299,474 and 655,216 is: 1,433,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,474 : 655,216 = 655,216 : x
  2. Step 2: Convert to fraction form
    299,474/655,216 = 655,216/x
  3. Step 3: Cross multiply
    299,474x = 655,216 × 655,216
  4. Step 4: Simplify right side
    299,474x = 429,308,006,656
  5. Step 5: Solve for x
    x = 429,308,006,656/299,474
  6. Step 6: Final answer
    x = 1,433,540.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.