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Finding the Third Proportional to 200,928 and 313,536

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Solution

The third proportional to 200,928 and 313,536 is: 489,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,928 : 313,536 = 313,536 : x
  2. Step 2: Convert to fraction form
    200,928/313,536 = 313,536/x
  3. Step 3: Cross multiply
    200,928x = 313,536 × 313,536
  4. Step 4: Simplify right side
    200,928x = 98,304,823,296
  5. Step 5: Solve for x
    x = 98,304,823,296/200,928
  6. Step 6: Final answer
    x = 489,253.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.