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Finding the Third Proportional to 258,100 and 565,767

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Solution

The third proportional to 258,100 and 565,767 is: 1,240,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,100 : 565,767 = 565,767 : x
  2. Step 2: Convert to fraction form
    258,100/565,767 = 565,767/x
  3. Step 3: Cross multiply
    258,100x = 565,767 × 565,767
  4. Step 4: Simplify right side
    258,100x = 320,092,298,289
  5. Step 5: Solve for x
    x = 320,092,298,289/258,100
  6. Step 6: Final answer
    x = 1,240,187.13

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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.