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Finding the Third Proportional to 491,768 and 734,912

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Solution

The third proportional to 491,768 and 734,912 is: 1,098,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,768 : 734,912 = 734,912 : x
  2. Step 2: Convert to fraction form
    491,768/734,912 = 734,912/x
  3. Step 3: Cross multiply
    491,768x = 734,912 × 734,912
  4. Step 4: Simplify right side
    491,768x = 540,095,647,744
  5. Step 5: Solve for x
    x = 540,095,647,744/491,768
  6. Step 6: Final answer
    x = 1,098,273.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.