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Finding the Third Proportional to 211,400 and 452,320

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Solution

The third proportional to 211,400 and 452,320 is: 967,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,400 : 452,320 = 452,320 : x
  2. Step 2: Convert to fraction form
    211,400/452,320 = 452,320/x
  3. Step 3: Cross multiply
    211,400x = 452,320 × 452,320
  4. Step 4: Simplify right side
    211,400x = 204,593,382,400
  5. Step 5: Solve for x
    x = 204,593,382,400/211,400
  6. Step 6: Final answer
    x = 967,802.19

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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.