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Finding the Third Proportional to 211,664.25 and 452,787.75

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Solution

The third proportional to 211,664.25 and 452,787.75 is: 968,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,664.25 : 452,787.75 = 452,787.75 : x
  2. Step 2: Convert to fraction form
    211,664.25/452,787.75 = 452,787.75/x
  3. Step 3: Cross multiply
    211,664.25x = 452,787.75 × 452,787.75
  4. Step 4: Simplify right side
    211,664.25x = 205,016,746,550.06
  5. Step 5: Solve for x
    x = 205,016,746,550.06/211,664.25
  6. Step 6: Final answer
    x = 968,594.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.