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Finding the Third Proportional to 258,501 and 568,029

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Solution

The third proportional to 258,501 and 568,029 is: 1,248,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,501 : 568,029 = 568,029 : x
  2. Step 2: Convert to fraction form
    258,501/568,029 = 568,029/x
  3. Step 3: Cross multiply
    258,501x = 568,029 × 568,029
  4. Step 4: Simplify right side
    258,501x = 322,656,944,841
  5. Step 5: Solve for x
    x = 322,656,944,841/258,501
  6. Step 6: Final answer
    x = 1,248,184.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.