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Finding the Third Proportional to 262,394 and 568,276

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Solution

The third proportional to 262,394 and 568,276 is: 1,230,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,394 : 568,276 = 568,276 : x
  2. Step 2: Convert to fraction form
    262,394/568,276 = 568,276/x
  3. Step 3: Cross multiply
    262,394x = 568,276 × 568,276
  4. Step 4: Simplify right side
    262,394x = 322,937,612,176
  5. Step 5: Solve for x
    x = 322,937,612,176/262,394
  6. Step 6: Final answer
    x = 1,230,735.51

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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.