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Finding the Third Proportional to 258,738 and 565,567

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Solution

The third proportional to 258,738 and 565,567 is: 1,236,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,738 : 565,567 = 565,567 : x
  2. Step 2: Convert to fraction form
    258,738/565,567 = 565,567/x
  3. Step 3: Cross multiply
    258,738x = 565,567 × 565,567
  4. Step 4: Simplify right side
    258,738x = 319,866,031,489
  5. Step 5: Solve for x
    x = 319,866,031,489/258,738
  6. Step 6: Final answer
    x = 1,236,254.56

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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.