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Finding the Third Proportional to 319,794 and 495,243

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Solution

The third proportional to 319,794 and 495,243 is: 766,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,794 : 495,243 = 495,243 : x
  2. Step 2: Convert to fraction form
    319,794/495,243 = 495,243/x
  3. Step 3: Cross multiply
    319,794x = 495,243 × 495,243
  4. Step 4: Simplify right side
    319,794x = 245,265,629,049
  5. Step 5: Solve for x
    x = 245,265,629,049/319,794
  6. Step 6: Final answer
    x = 766,948.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.