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Finding the Third Proportional to 372,932 and 804,832

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Solution

The third proportional to 372,932 and 804,832 is: 1,736,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,932 : 804,832 = 804,832 : x
  2. Step 2: Convert to fraction form
    372,932/804,832 = 804,832/x
  3. Step 3: Cross multiply
    372,932x = 804,832 × 804,832
  4. Step 4: Simplify right side
    372,932x = 647,754,548,224
  5. Step 5: Solve for x
    x = 647,754,548,224/372,932
  6. Step 6: Final answer
    x = 1,736,924.02

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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.