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Finding the Third Proportional to 299,368 and 452,150

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Solution

The third proportional to 299,368 and 452,150 is: 682,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,368 : 452,150 = 452,150 : x
  2. Step 2: Convert to fraction form
    299,368/452,150 = 452,150/x
  3. Step 3: Cross multiply
    299,368x = 452,150 × 452,150
  4. Step 4: Simplify right side
    299,368x = 204,439,622,500
  5. Step 5: Solve for x
    x = 204,439,622,500/299,368
  6. Step 6: Final answer
    x = 682,904.06

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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.