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Finding the Third Proportional to 463,338 and 949,250

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Solution

The third proportional to 463,338 and 949,250 is: 1,944,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,338 : 949,250 = 949,250 : x
  2. Step 2: Convert to fraction form
    463,338/949,250 = 949,250/x
  3. Step 3: Cross multiply
    463,338x = 949,250 × 949,250
  4. Step 4: Simplify right side
    463,338x = 901,075,562,500
  5. Step 5: Solve for x
    x = 901,075,562,500/463,338
  6. Step 6: Final answer
    x = 1,944,747.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.