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Finding the Third Proportional to 262,032 and 568,560

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Solution

The third proportional to 262,032 and 568,560 is: 1,233,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032 : 568,560 = 568,560 : x
  2. Step 2: Convert to fraction form
    262,032/568,560 = 568,560/x
  3. Step 3: Cross multiply
    262,032x = 568,560 × 568,560
  4. Step 4: Simplify right side
    262,032x = 323,260,473,600
  5. Step 5: Solve for x
    x = 323,260,473,600/262,032
  6. Step 6: Final answer
    x = 1,233,667.92

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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.