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Finding the Third Proportional to 279,798 and 604,269

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Solution

The third proportional to 279,798 and 604,269 is: 1,305,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,798 : 604,269 = 604,269 : x
  2. Step 2: Convert to fraction form
    279,798/604,269 = 604,269/x
  3. Step 3: Cross multiply
    279,798x = 604,269 × 604,269
  4. Step 4: Simplify right side
    279,798x = 365,141,024,361
  5. Step 5: Solve for x
    x = 365,141,024,361/279,798
  6. Step 6: Final answer
    x = 1,305,016.56

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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.