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Finding the Third Proportional to 270,486 and 587,628

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Solution

The third proportional to 270,486 and 587,628 is: 1,276,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,486 : 587,628 = 587,628 : x
  2. Step 2: Convert to fraction form
    270,486/587,628 = 587,628/x
  3. Step 3: Cross multiply
    270,486x = 587,628 × 587,628
  4. Step 4: Simplify right side
    270,486x = 345,306,666,384
  5. Step 5: Solve for x
    x = 345,306,666,384/270,486
  6. Step 6: Final answer
    x = 1,276,615.67

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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.