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Finding the Third Proportional to 299,487 and 452,349

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Solution

The third proportional to 299,487 and 452,349 is: 683,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,487 : 452,349 = 452,349 : x
  2. Step 2: Convert to fraction form
    299,487/452,349 = 452,349/x
  3. Step 3: Cross multiply
    299,487x = 452,349 × 452,349
  4. Step 4: Simplify right side
    299,487x = 204,619,617,801
  5. Step 5: Solve for x
    x = 204,619,617,801/299,487
  6. Step 6: Final answer
    x = 683,233.72

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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.