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Finding the Third Proportional to 211,541 and 452,606

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Solution

The third proportional to 211,541 and 452,606 is: 968,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,541 : 452,606 = 452,606 : x
  2. Step 2: Convert to fraction form
    211,541/452,606 = 452,606/x
  3. Step 3: Cross multiply
    211,541x = 452,606 × 452,606
  4. Step 4: Simplify right side
    211,541x = 204,852,191,236
  5. Step 5: Solve for x
    x = 204,852,191,236/211,541
  6. Step 6: Final answer
    x = 968,380.56

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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.