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Finding the Third Proportional to 261,936 and 568,224

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Solution

The third proportional to 261,936 and 568,224 is: 1,232,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,936 : 568,224 = 568,224 : x
  2. Step 2: Convert to fraction form
    261,936/568,224 = 568,224/x
  3. Step 3: Cross multiply
    261,936x = 568,224 × 568,224
  4. Step 4: Simplify right side
    261,936x = 322,878,514,176
  5. Step 5: Solve for x
    x = 322,878,514,176/261,936
  6. Step 6: Final answer
    x = 1,232,661.85

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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.