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Finding the Third Proportional to 372,638 and 804,803

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Solution

The third proportional to 372,638 and 804,803 is: 1,738,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,638 : 804,803 = 804,803 : x
  2. Step 2: Convert to fraction form
    372,638/804,803 = 804,803/x
  3. Step 3: Cross multiply
    372,638x = 804,803 × 804,803
  4. Step 4: Simplify right side
    372,638x = 647,707,868,809
  5. Step 5: Solve for x
    x = 647,707,868,809/372,638
  6. Step 6: Final answer
    x = 1,738,169.13

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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.