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Finding the Third Proportional to 380,711 and 846,523

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Solution

The third proportional to 380,711 and 846,523 is: 1,882,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,711 : 846,523 = 846,523 : x
  2. Step 2: Convert to fraction form
    380,711/846,523 = 846,523/x
  3. Step 3: Cross multiply
    380,711x = 846,523 × 846,523
  4. Step 4: Simplify right side
    380,711x = 716,601,189,529
  5. Step 5: Solve for x
    x = 716,601,189,529/380,711
  6. Step 6: Final answer
    x = 1,882,270.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.