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Finding the Third Proportional to 212,617.41 and 328,972.64

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Solution

The third proportional to 212,617.41 and 328,972.64 is: 509,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,617.41 : 328,972.64 = 328,972.64 : x
  2. Step 2: Convert to fraction form
    212,617.41/328,972.64 = 328,972.64/x
  3. Step 3: Cross multiply
    212,617.41x = 328,972.64 × 328,972.64
  4. Step 4: Simplify right side
    212,617.41x = 108,222,998,279.79
  5. Step 5: Solve for x
    x = 108,222,998,279.79/212,617.41
  6. Step 6: Final answer
    x = 509,003.47

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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.