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Finding the Third Proportional to 270,502 and 587,659

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Solution

The third proportional to 270,502 and 587,659 is: 1,276,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,502 : 587,659 = 587,659 : x
  2. Step 2: Convert to fraction form
    270,502/587,659 = 587,659/x
  3. Step 3: Cross multiply
    270,502x = 587,659 × 587,659
  4. Step 4: Simplify right side
    270,502x = 345,343,100,281
  5. Step 5: Solve for x
    x = 345,343,100,281/270,502
  6. Step 6: Final answer
    x = 1,276,674.85

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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.