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Finding the Third Proportional to 258,600 and 569,044

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Solution

The third proportional to 258,600 and 569,044 is: 1,252,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,600 : 569,044 = 569,044 : x
  2. Step 2: Convert to fraction form
    258,600/569,044 = 569,044/x
  3. Step 3: Cross multiply
    258,600x = 569,044 × 569,044
  4. Step 4: Simplify right side
    258,600x = 323,811,073,936
  5. Step 5: Solve for x
    x = 323,811,073,936/258,600
  6. Step 6: Final answer
    x = 1,252,169.66

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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.