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Finding the Third Proportional to 299,932 and 633,580

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Solution

The third proportional to 299,932 and 633,580 is: 1,338,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,932 : 633,580 = 633,580 : x
  2. Step 2: Convert to fraction form
    299,932/633,580 = 633,580/x
  3. Step 3: Cross multiply
    299,932x = 633,580 × 633,580
  4. Step 4: Simplify right side
    299,932x = 401,423,616,400
  5. Step 5: Solve for x
    x = 401,423,616,400/299,932
  6. Step 6: Final answer
    x = 1,338,382.09

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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.