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Finding the Third Proportional to 211,527.28 and 461,639.25

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Solution

The third proportional to 211,527.28 and 461,639.25 is: 1,007,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,527.28 : 461,639.25 = 461,639.25 : x
  2. Step 2: Convert to fraction form
    211,527.28/461,639.25 = 461,639.25/x
  3. Step 3: Cross multiply
    211,527.28x = 461,639.25 × 461,639.25
  4. Step 4: Simplify right side
    211,527.28x = 213,110,797,140.56
  5. Step 5: Solve for x
    x = 213,110,797,140.56/211,527.28
  6. Step 6: Final answer
    x = 1,007,486.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.