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Finding the Third Proportional to 392,264 and 846,736

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Solution

The third proportional to 392,264 and 846,736 is: 1,827,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,264 : 846,736 = 846,736 : x
  2. Step 2: Convert to fraction form
    392,264/846,736 = 846,736/x
  3. Step 3: Cross multiply
    392,264x = 846,736 × 846,736
  4. Step 4: Simplify right side
    392,264x = 716,961,853,696
  5. Step 5: Solve for x
    x = 716,961,853,696/392,264
  6. Step 6: Final answer
    x = 1,827,753.38

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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.