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Finding the Third Proportional to 262,071 and 568,638

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Solution

The third proportional to 262,071 and 568,638 is: 1,233,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,071 : 568,638 = 568,638 : x
  2. Step 2: Convert to fraction form
    262,071/568,638 = 568,638/x
  3. Step 3: Cross multiply
    262,071x = 568,638 × 568,638
  4. Step 4: Simplify right side
    262,071x = 323,349,175,044
  5. Step 5: Solve for x
    x = 323,349,175,044/262,071
  6. Step 6: Final answer
    x = 1,233,822.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.