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Finding the Third Proportional to 233,417 and 339,919

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Solution

The third proportional to 233,417 and 339,919 is: 495,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417 : 339,919 = 339,919 : x
  2. Step 2: Convert to fraction form
    233,417/339,919 = 339,919/x
  3. Step 3: Cross multiply
    233,417x = 339,919 × 339,919
  4. Step 4: Simplify right side
    233,417x = 115,544,926,561
  5. Step 5: Solve for x
    x = 115,544,926,561/233,417
  6. Step 6: Final answer
    x = 495,015.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.