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Finding the Third Proportional to 187,862 and 443,019

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Solution

The third proportional to 187,862 and 443,019 is: 1,044,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,862 : 443,019 = 443,019 : x
  2. Step 2: Convert to fraction form
    187,862/443,019 = 443,019/x
  3. Step 3: Cross multiply
    187,862x = 443,019 × 443,019
  4. Step 4: Simplify right side
    187,862x = 196,265,834,361
  5. Step 5: Solve for x
    x = 196,265,834,361/187,862
  6. Step 6: Final answer
    x = 1,044,734.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.