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Finding the Third Proportional to 372,942 and 804,852

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Solution

The third proportional to 372,942 and 804,852 is: 1,736,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,942 : 804,852 = 804,852 : x
  2. Step 2: Convert to fraction form
    372,942/804,852 = 804,852/x
  3. Step 3: Cross multiply
    372,942x = 804,852 × 804,852
  4. Step 4: Simplify right side
    372,942x = 647,786,741,904
  5. Step 5: Solve for x
    x = 647,786,741,904/372,942
  6. Step 6: Final answer
    x = 1,736,963.77

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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.