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Finding the Third Proportional to 299,491 and 452,352

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Solution

The third proportional to 299,491 and 452,352 is: 683,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,491 : 452,352 = 452,352 : x
  2. Step 2: Convert to fraction form
    299,491/452,352 = 452,352/x
  3. Step 3: Cross multiply
    299,491x = 452,352 × 452,352
  4. Step 4: Simplify right side
    299,491x = 204,622,331,904
  5. Step 5: Solve for x
    x = 204,622,331,904/299,491
  6. Step 6: Final answer
    x = 683,233.66

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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.