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Finding the Third Proportional to 270,588 and 587,285

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Solution

The third proportional to 270,588 and 587,285 is: 1,274,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,588 : 587,285 = 587,285 : x
  2. Step 2: Convert to fraction form
    270,588/587,285 = 587,285/x
  3. Step 3: Cross multiply
    270,588x = 587,285 × 587,285
  4. Step 4: Simplify right side
    270,588x = 344,903,671,225
  5. Step 5: Solve for x
    x = 344,903,671,225/270,588
  6. Step 6: Final answer
    x = 1,274,645.11

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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.