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Finding the Third Proportional to 262,073 and 568,642

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Solution

The third proportional to 262,073 and 568,642 is: 1,233,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,073 : 568,642 = 568,642 : x
  2. Step 2: Convert to fraction form
    262,073/568,642 = 568,642/x
  3. Step 3: Cross multiply
    262,073x = 568,642 × 568,642
  4. Step 4: Simplify right side
    262,073x = 323,353,724,164
  5. Step 5: Solve for x
    x = 323,353,724,164/262,073
  6. Step 6: Final answer
    x = 1,233,830.74

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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.