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Finding the Third Proportional to 372,663 and 804,334

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Solution

The third proportional to 372,663 and 804,334 is: 1,736,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,663 : 804,334 = 804,334 : x
  2. Step 2: Convert to fraction form
    372,663/804,334 = 804,334/x
  3. Step 3: Cross multiply
    372,663x = 804,334 × 804,334
  4. Step 4: Simplify right side
    372,663x = 646,953,183,556
  5. Step 5: Solve for x
    x = 646,953,183,556/372,663
  6. Step 6: Final answer
    x = 1,736,027.41

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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.