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Finding the Third Proportional to 211,956.19 and 457,120.13

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Solution

The third proportional to 211,956.19 and 457,120.13 is: 985,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,956.19 : 457,120.13 = 457,120.13 : x
  2. Step 2: Convert to fraction form
    211,956.19/457,120.13 = 457,120.13/x
  3. Step 3: Cross multiply
    211,956.19x = 457,120.13 × 457,120.13
  4. Step 4: Simplify right side
    211,956.19x = 208,958,808,680.02
  5. Step 5: Solve for x
    x = 208,958,808,680.02/211,956.19
  6. Step 6: Final answer
    x = 985,858.50

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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.