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Finding the Third Proportional to 211,877.44 and 457,364.81

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Solution

The third proportional to 211,877.44 and 457,364.81 is: 987,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,877.44 : 457,364.81 = 457,364.81 : x
  2. Step 2: Convert to fraction form
    211,877.44/457,364.81 = 457,364.81/x
  3. Step 3: Cross multiply
    211,877.44x = 457,364.81 × 457,364.81
  4. Step 4: Simplify right side
    211,877.44x = 209,182,571,713.16
  5. Step 5: Solve for x
    x = 209,182,571,713.16/211,877.44
  6. Step 6: Final answer
    x = 987,281.02

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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.