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Finding the Third Proportional to 206,984 and 452,712

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Solution

The third proportional to 206,984 and 452,712 is: 990,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984 : 452,712 = 452,712 : x
  2. Step 2: Convert to fraction form
    206,984/452,712 = 452,712/x
  3. Step 3: Cross multiply
    206,984x = 452,712 × 452,712
  4. Step 4: Simplify right side
    206,984x = 204,948,154,944
  5. Step 5: Solve for x
    x = 204,948,154,944/206,984
  6. Step 6: Final answer
    x = 990,164.24

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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.