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Finding the Third Proportional to 372,648 and 804,345

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Solution

The third proportional to 372,648 and 804,345 is: 1,736,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,648 : 804,345 = 804,345 : x
  2. Step 2: Convert to fraction form
    372,648/804,345 = 804,345/x
  3. Step 3: Cross multiply
    372,648x = 804,345 × 804,345
  4. Step 4: Simplify right side
    372,648x = 646,970,879,025
  5. Step 5: Solve for x
    x = 646,970,879,025/372,648
  6. Step 6: Final answer
    x = 1,736,144.78

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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.