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Finding the Third Proportional to 258,102 and 565,771

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Solution

The third proportional to 258,102 and 565,771 is: 1,240,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,102 : 565,771 = 565,771 : x
  2. Step 2: Convert to fraction form
    258,102/565,771 = 565,771/x
  3. Step 3: Cross multiply
    258,102x = 565,771 × 565,771
  4. Step 4: Simplify right side
    258,102x = 320,096,824,441
  5. Step 5: Solve for x
    x = 320,096,824,441/258,102
  6. Step 6: Final answer
    x = 1,240,195.06

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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.