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Finding the Third Proportional to 367,496 and 758,608

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Solution

The third proportional to 367,496 and 758,608 is: 1,565,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,496 : 758,608 = 758,608 : x
  2. Step 2: Convert to fraction form
    367,496/758,608 = 758,608/x
  3. Step 3: Cross multiply
    367,496x = 758,608 × 758,608
  4. Step 4: Simplify right side
    367,496x = 575,486,097,664
  5. Step 5: Solve for x
    x = 575,486,097,664/367,496
  6. Step 6: Final answer
    x = 1,565,965.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.