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Finding the Third Proportional to 279,810 and 604,293

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Solution

The third proportional to 279,810 and 604,293 is: 1,305,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,810 : 604,293 = 604,293 : x
  2. Step 2: Convert to fraction form
    279,810/604,293 = 604,293/x
  3. Step 3: Cross multiply
    279,810x = 604,293 × 604,293
  4. Step 4: Simplify right side
    279,810x = 365,170,029,849
  5. Step 5: Solve for x
    x = 365,170,029,849/279,810
  6. Step 6: Final answer
    x = 1,305,064.26

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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.