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Finding the Third Proportional to 551,734 and 741,441

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Solution

The third proportional to 551,734 and 741,441 is: 996,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,734 : 741,441 = 741,441 : x
  2. Step 2: Convert to fraction form
    551,734/741,441 = 741,441/x
  3. Step 3: Cross multiply
    551,734x = 741,441 × 741,441
  4. Step 4: Simplify right side
    551,734x = 549,734,756,481
  5. Step 5: Solve for x
    x = 549,734,756,481/551,734
  6. Step 6: Final answer
    x = 996,376.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.