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Finding the Third Proportional to 270,544 and 578,608

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Solution

The third proportional to 270,544 and 578,608 is: 1,237,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,544 : 578,608 = 578,608 : x
  2. Step 2: Convert to fraction form
    270,544/578,608 = 578,608/x
  3. Step 3: Cross multiply
    270,544x = 578,608 × 578,608
  4. Step 4: Simplify right side
    270,544x = 334,787,217,664
  5. Step 5: Solve for x
    x = 334,787,217,664/270,544
  6. Step 6: Final answer
    x = 1,237,459.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.