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Finding the Third Proportional to 211,680 and 452,460

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Solution

The third proportional to 211,680 and 452,460 is: 967,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,680 : 452,460 = 452,460 : x
  2. Step 2: Convert to fraction form
    211,680/452,460 = 452,460/x
  3. Step 3: Cross multiply
    211,680x = 452,460 × 452,460
  4. Step 4: Simplify right side
    211,680x = 204,720,051,600
  5. Step 5: Solve for x
    x = 204,720,051,600/211,680
  6. Step 6: Final answer
    x = 967,120.43

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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.