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Finding the Third Proportional to 603,578 and 905,441

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Solution

The third proportional to 603,578 and 905,441 is: 1,358,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,578 : 905,441 = 905,441 : x
  2. Step 2: Convert to fraction form
    603,578/905,441 = 905,441/x
  3. Step 3: Cross multiply
    603,578x = 905,441 × 905,441
  4. Step 4: Simplify right side
    603,578x = 819,823,404,481
  5. Step 5: Solve for x
    x = 819,823,404,481/603,578
  6. Step 6: Final answer
    x = 1,358,272.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.