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Finding the Third Proportional to 360,555 and 522,243

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Solution

The third proportional to 360,555 and 522,243 is: 756,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,555 : 522,243 = 522,243 : x
  2. Step 2: Convert to fraction form
    360,555/522,243 = 522,243/x
  3. Step 3: Cross multiply
    360,555x = 522,243 × 522,243
  4. Step 4: Simplify right side
    360,555x = 272,737,751,049
  5. Step 5: Solve for x
    x = 272,737,751,049/360,555
  6. Step 6: Final answer
    x = 756,438.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.