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Finding the Third Proportional to 279,805 and 604,283

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Solution

The third proportional to 279,805 and 604,283 is: 1,305,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,805 : 604,283 = 604,283 : x
  2. Step 2: Convert to fraction form
    279,805/604,283 = 604,283/x
  3. Step 3: Cross multiply
    279,805x = 604,283 × 604,283
  4. Step 4: Simplify right side
    279,805x = 365,157,944,089
  5. Step 5: Solve for x
    x = 365,157,944,089/279,805
  6. Step 6: Final answer
    x = 1,305,044.38

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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.