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Finding the Third Proportional to 209,611 and 452,433

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Solution

The third proportional to 209,611 and 452,433 is: 976,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,611 : 452,433 = 452,433 : x
  2. Step 2: Convert to fraction form
    209,611/452,433 = 452,433/x
  3. Step 3: Cross multiply
    209,611x = 452,433 × 452,433
  4. Step 4: Simplify right side
    209,611x = 204,695,619,489
  5. Step 5: Solve for x
    x = 204,695,619,489/209,611
  6. Step 6: Final answer
    x = 976,549.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.