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Finding the Third Proportional to 206,984 and 453,710

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Solution

The third proportional to 206,984 and 453,710 is: 994,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984 : 453,710 = 453,710 : x
  2. Step 2: Convert to fraction form
    206,984/453,710 = 453,710/x
  3. Step 3: Cross multiply
    206,984x = 453,710 × 453,710
  4. Step 4: Simplify right side
    206,984x = 205,852,764,100
  5. Step 5: Solve for x
    x = 205,852,764,100/206,984
  6. Step 6: Final answer
    x = 994,534.67

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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.