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Finding the Third Proportional to 379,548 and 821,432

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Solution

The third proportional to 379,548 and 821,432 is: 1,777,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,548 : 821,432 = 821,432 : x
  2. Step 2: Convert to fraction form
    379,548/821,432 = 821,432/x
  3. Step 3: Cross multiply
    379,548x = 821,432 × 821,432
  4. Step 4: Simplify right side
    379,548x = 674,750,530,624
  5. Step 5: Solve for x
    x = 674,750,530,624/379,548
  6. Step 6: Final answer
    x = 1,777,773.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.