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Finding the Third Proportional to 270,900 and 591,768

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Solution

The third proportional to 270,900 and 591,768 is: 1,292,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,900 : 591,768 = 591,768 : x
  2. Step 2: Convert to fraction form
    270,900/591,768 = 591,768/x
  3. Step 3: Cross multiply
    270,900x = 591,768 × 591,768
  4. Step 4: Simplify right side
    270,900x = 350,189,365,824
  5. Step 5: Solve for x
    x = 350,189,365,824/270,900
  6. Step 6: Final answer
    x = 1,292,688.69

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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.