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Finding the Third Proportional to 262,081 and 568,658

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Solution

The third proportional to 262,081 and 568,658 is: 1,233,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,081 : 568,658 = 568,658 : x
  2. Step 2: Convert to fraction form
    262,081/568,658 = 568,658/x
  3. Step 3: Cross multiply
    262,081x = 568,658 × 568,658
  4. Step 4: Simplify right side
    262,081x = 323,371,920,964
  5. Step 5: Solve for x
    x = 323,371,920,964/262,081
  6. Step 6: Final answer
    x = 1,233,862.51

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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.