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Finding the Third Proportional to 465,838 and 738,821

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Solution

The third proportional to 465,838 and 738,821 is: 1,171,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,838 : 738,821 = 738,821 : x
  2. Step 2: Convert to fraction form
    465,838/738,821 = 738,821/x
  3. Step 3: Cross multiply
    465,838x = 738,821 × 738,821
  4. Step 4: Simplify right side
    465,838x = 545,856,470,041
  5. Step 5: Solve for x
    x = 545,856,470,041/465,838
  6. Step 6: Final answer
    x = 1,171,773.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.