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Finding the Third Proportional to 203,506 and 447,613

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Solution

The third proportional to 203,506 and 447,613 is: 984,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506 : 447,613 = 447,613 : x
  2. Step 2: Convert to fraction form
    203,506/447,613 = 447,613/x
  3. Step 3: Cross multiply
    203,506x = 447,613 × 447,613
  4. Step 4: Simplify right side
    203,506x = 200,357,397,769
  5. Step 5: Solve for x
    x = 200,357,397,769/203,506
  6. Step 6: Final answer
    x = 984,528.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.