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Finding the Third Proportional to 392,256 and 846,720

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Solution

The third proportional to 392,256 and 846,720 is: 1,827,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,256 : 846,720 = 846,720 : x
  2. Step 2: Convert to fraction form
    392,256/846,720 = 846,720/x
  3. Step 3: Cross multiply
    392,256x = 846,720 × 846,720
  4. Step 4: Simplify right side
    392,256x = 716,934,758,400
  5. Step 5: Solve for x
    x = 716,934,758,400/392,256
  6. Step 6: Final answer
    x = 1,827,721.59

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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.