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Finding the Third Proportional to 291,258 and 441,398

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Solution

The third proportional to 291,258 and 441,398 is: 668,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,258 : 441,398 = 441,398 : x
  2. Step 2: Convert to fraction form
    291,258/441,398 = 441,398/x
  3. Step 3: Cross multiply
    291,258x = 441,398 × 441,398
  4. Step 4: Simplify right side
    291,258x = 194,832,194,404
  5. Step 5: Solve for x
    x = 194,832,194,404/291,258
  6. Step 6: Final answer
    x = 668,933.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.