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Finding the Third Proportional to 299,486 and 452,347

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Solution

The third proportional to 299,486 and 452,347 is: 683,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,486 : 452,347 = 452,347 : x
  2. Step 2: Convert to fraction form
    299,486/452,347 = 452,347/x
  3. Step 3: Cross multiply
    299,486x = 452,347 × 452,347
  4. Step 4: Simplify right side
    299,486x = 204,617,808,409
  5. Step 5: Solve for x
    x = 204,617,808,409/299,486
  6. Step 6: Final answer
    x = 683,229.96

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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.