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Finding the Third Proportional to 268,298 and 568,572

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Solution

The third proportional to 268,298 and 568,572 is: 1,204,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,298 : 568,572 = 568,572 : x
  2. Step 2: Convert to fraction form
    268,298/568,572 = 568,572/x
  3. Step 3: Cross multiply
    268,298x = 568,572 × 568,572
  4. Step 4: Simplify right side
    268,298x = 323,274,119,184
  5. Step 5: Solve for x
    x = 323,274,119,184/268,298
  6. Step 6: Final answer
    x = 1,204,906.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.