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Finding the Third Proportional to 299,374 and 452,160

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Solution

The third proportional to 299,374 and 452,160 is: 682,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,374 : 452,160 = 452,160 : x
  2. Step 2: Convert to fraction form
    299,374/452,160 = 452,160/x
  3. Step 3: Cross multiply
    299,374x = 452,160 × 452,160
  4. Step 4: Simplify right side
    299,374x = 204,448,665,600
  5. Step 5: Solve for x
    x = 204,448,665,600/299,374
  6. Step 6: Final answer
    x = 682,920.58

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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.