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Finding the Third Proportional to 372,669 and 804,357

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Solution

The third proportional to 372,669 and 804,357 is: 1,736,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,669 : 804,357 = 804,357 : x
  2. Step 2: Convert to fraction form
    372,669/804,357 = 804,357/x
  3. Step 3: Cross multiply
    372,669x = 804,357 × 804,357
  4. Step 4: Simplify right side
    372,669x = 646,990,183,449
  5. Step 5: Solve for x
    x = 646,990,183,449/372,669
  6. Step 6: Final answer
    x = 1,736,098.75

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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.