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Finding the Third Proportional to 258,122 and 565,924

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Solution

The third proportional to 258,122 and 565,924 is: 1,240,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,122 : 565,924 = 565,924 : x
  2. Step 2: Convert to fraction form
    258,122/565,924 = 565,924/x
  3. Step 3: Cross multiply
    258,122x = 565,924 × 565,924
  4. Step 4: Simplify right side
    258,122x = 320,269,973,776
  5. Step 5: Solve for x
    x = 320,269,973,776/258,122
  6. Step 6: Final answer
    x = 1,240,769.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.