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Finding the Third Proportional to 270,164 and 587,896

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Solution

The third proportional to 270,164 and 587,896 is: 1,279,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,164 : 587,896 = 587,896 : x
  2. Step 2: Convert to fraction form
    270,164/587,896 = 587,896/x
  3. Step 3: Cross multiply
    270,164x = 587,896 × 587,896
  4. Step 4: Simplify right side
    270,164x = 345,621,706,816
  5. Step 5: Solve for x
    x = 345,621,706,816/270,164
  6. Step 6: Final answer
    x = 1,279,303.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.