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Finding the Third Proportional to 392,376 and 846,960

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Solution

The third proportional to 392,376 and 846,960 is: 1,828,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,376 : 846,960 = 846,960 : x
  2. Step 2: Convert to fraction form
    392,376/846,960 = 846,960/x
  3. Step 3: Cross multiply
    392,376x = 846,960 × 846,960
  4. Step 4: Simplify right side
    392,376x = 717,341,241,600
  5. Step 5: Solve for x
    x = 717,341,241,600/392,376
  6. Step 6: Final answer
    x = 1,828,198.57

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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.