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Finding the Third Proportional to 301,203 and 633,468.09

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Solution

The third proportional to 301,203 and 633,468.09 is: 1,332,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,203 : 633,468.09 = 633,468.09 : x
  2. Step 2: Convert to fraction form
    301,203/633,468.09 = 633,468.09/x
  3. Step 3: Cross multiply
    301,203x = 633,468.09 × 633,468.09
  4. Step 4: Simplify right side
    301,203x = 401,281,825,799.26
  5. Step 5: Solve for x
    x = 401,281,825,799.26/301,203
  6. Step 6: Final answer
    x = 1,332,263.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.