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Finding the Third Proportional to 299,493 and 452,358

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Solution

The third proportional to 299,493 and 452,358 is: 683,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,493 : 452,358 = 452,358 : x
  2. Step 2: Convert to fraction form
    299,493/452,358 = 452,358/x
  3. Step 3: Cross multiply
    299,493x = 452,358 × 452,358
  4. Step 4: Simplify right side
    299,493x = 204,627,760,164
  5. Step 5: Solve for x
    x = 204,627,760,164/299,493
  6. Step 6: Final answer
    x = 683,247.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.