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Finding the Third Proportional to 270,160 and 587,888

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Solution

The third proportional to 270,160 and 587,888 is: 1,279,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,160 : 587,888 = 587,888 : x
  2. Step 2: Convert to fraction form
    270,160/587,888 = 587,888/x
  3. Step 3: Cross multiply
    270,160x = 587,888 × 587,888
  4. Step 4: Simplify right side
    270,160x = 345,612,300,544
  5. Step 5: Solve for x
    x = 345,612,300,544/270,160
  6. Step 6: Final answer
    x = 1,279,287.46

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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.