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Finding the Third Proportional to 308,417 and 460,067.25

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Solution

The third proportional to 308,417 and 460,067.25 is: 686,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,417 : 460,067.25 = 460,067.25 : x
  2. Step 2: Convert to fraction form
    308,417/460,067.25 = 460,067.25/x
  3. Step 3: Cross multiply
    308,417x = 460,067.25 × 460,067.25
  4. Step 4: Simplify right side
    308,417x = 211,661,874,522.56
  5. Step 5: Solve for x
    x = 211,661,874,522.56/308,417
  6. Step 6: Final answer
    x = 686,284.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.