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Finding the Third Proportional to 374,558 and 825,466

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Solution

The third proportional to 374,558 and 825,466 is: 1,819,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,558 : 825,466 = 825,466 : x
  2. Step 2: Convert to fraction form
    374,558/825,466 = 825,466/x
  3. Step 3: Cross multiply
    374,558x = 825,466 × 825,466
  4. Step 4: Simplify right side
    374,558x = 681,394,117,156
  5. Step 5: Solve for x
    x = 681,394,117,156/374,558
  6. Step 6: Final answer
    x = 1,819,195.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.