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Finding the Third Proportional to 212,046.75 and 457,305.75

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Solution

The third proportional to 212,046.75 and 457,305.75 is: 986,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,046.75 : 457,305.75 = 457,305.75 : x
  2. Step 2: Convert to fraction form
    212,046.75/457,305.75 = 457,305.75/x
  3. Step 3: Cross multiply
    212,046.75x = 457,305.75 × 457,305.75
  4. Step 4: Simplify right side
    212,046.75x = 209,128,548,983.06
  5. Step 5: Solve for x
    x = 209,128,548,983.06/212,046.75
  6. Step 6: Final answer
    x = 986,237.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.