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Finding the Third Proportional to 300,002 and 633,726

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Solution

The third proportional to 300,002 and 633,726 is: 1,338,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,002 : 633,726 = 633,726 : x
  2. Step 2: Convert to fraction form
    300,002/633,726 = 633,726/x
  3. Step 3: Cross multiply
    300,002x = 633,726 × 633,726
  4. Step 4: Simplify right side
    300,002x = 401,608,643,076
  5. Step 5: Solve for x
    x = 401,608,643,076/300,002
  6. Step 6: Final answer
    x = 1,338,686.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.