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Finding the Third Proportional to 371,334 and 541,353

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Solution

The third proportional to 371,334 and 541,353 is: 789,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,334 : 541,353 = 541,353 : x
  2. Step 2: Convert to fraction form
    371,334/541,353 = 541,353/x
  3. Step 3: Cross multiply
    371,334x = 541,353 × 541,353
  4. Step 4: Simplify right side
    371,334x = 293,063,070,609
  5. Step 5: Solve for x
    x = 293,063,070,609/371,334
  6. Step 6: Final answer
    x = 789,216.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.