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Finding the Third Proportional to 392,274 and 846,756

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Solution

The third proportional to 392,274 and 846,756 is: 1,827,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,274 : 846,756 = 846,756 : x
  2. Step 2: Convert to fraction form
    392,274/846,756 = 846,756/x
  3. Step 3: Cross multiply
    392,274x = 846,756 × 846,756
  4. Step 4: Simplify right side
    392,274x = 716,995,723,536
  5. Step 5: Solve for x
    x = 716,995,723,536/392,274
  6. Step 6: Final answer
    x = 1,827,793.13

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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.