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Finding the Third Proportional to 299,472 and 655,212

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Solution

The third proportional to 299,472 and 655,212 is: 1,433,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472 : 655,212 = 655,212 : x
  2. Step 2: Convert to fraction form
    299,472/655,212 = 655,212/x
  3. Step 3: Cross multiply
    299,472x = 655,212 × 655,212
  4. Step 4: Simplify right side
    299,472x = 429,302,764,944
  5. Step 5: Solve for x
    x = 429,302,764,944/299,472
  6. Step 6: Final answer
    x = 1,433,532.23

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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.