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Finding the Third Proportional to 211,538 and 452,595

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Solution

The third proportional to 211,538 and 452,595 is: 968,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,538 : 452,595 = 452,595 : x
  2. Step 2: Convert to fraction form
    211,538/452,595 = 452,595/x
  3. Step 3: Cross multiply
    211,538x = 452,595 × 452,595
  4. Step 4: Simplify right side
    211,538x = 204,842,234,025
  5. Step 5: Solve for x
    x = 204,842,234,025/211,538
  6. Step 6: Final answer
    x = 968,347.22

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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.