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Finding the Third Proportional to 258,801 and 565,578

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Solution

The third proportional to 258,801 and 565,578 is: 1,236,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,801 : 565,578 = 565,578 : x
  2. Step 2: Convert to fraction form
    258,801/565,578 = 565,578/x
  3. Step 3: Cross multiply
    258,801x = 565,578 × 565,578
  4. Step 4: Simplify right side
    258,801x = 319,878,474,084
  5. Step 5: Solve for x
    x = 319,878,474,084/258,801
  6. Step 6: Final answer
    x = 1,236,001.69

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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.