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Finding the Third Proportional to 206,595 and 452,502

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Solution

The third proportional to 206,595 and 452,502 is: 991,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,595 : 452,502 = 452,502 : x
  2. Step 2: Convert to fraction form
    206,595/452,502 = 452,502/x
  3. Step 3: Cross multiply
    206,595x = 452,502 × 452,502
  4. Step 4: Simplify right side
    206,595x = 204,758,060,004
  5. Step 5: Solve for x
    x = 204,758,060,004/206,595
  6. Step 6: Final answer
    x = 991,108.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.