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Finding the Third Proportional to 368,049 and 539,922

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Solution

The third proportional to 368,049 and 539,922 is: 792,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,049 : 539,922 = 539,922 : x
  2. Step 2: Convert to fraction form
    368,049/539,922 = 539,922/x
  3. Step 3: Cross multiply
    368,049x = 539,922 × 539,922
  4. Step 4: Simplify right side
    368,049x = 291,515,766,084
  5. Step 5: Solve for x
    x = 291,515,766,084/368,049
  6. Step 6: Final answer
    x = 792,056.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.