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Finding the Third Proportional to 270,496 and 587,648

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Solution

The third proportional to 270,496 and 587,648 is: 1,276,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496 : 587,648 = 587,648 : x
  2. Step 2: Convert to fraction form
    270,496/587,648 = 587,648/x
  3. Step 3: Cross multiply
    270,496x = 587,648 × 587,648
  4. Step 4: Simplify right side
    270,496x = 345,330,171,904
  5. Step 5: Solve for x
    x = 345,330,171,904/270,496
  6. Step 6: Final answer
    x = 1,276,655.37

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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.