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Finding the Third Proportional to 200,570 and 440,499

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Solution

The third proportional to 200,570 and 440,499 is: 967,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,570 : 440,499 = 440,499 : x
  2. Step 2: Convert to fraction form
    200,570/440,499 = 440,499/x
  3. Step 3: Cross multiply
    200,570x = 440,499 × 440,499
  4. Step 4: Simplify right side
    200,570x = 194,039,369,001
  5. Step 5: Solve for x
    x = 194,039,369,001/200,570
  6. Step 6: Final answer
    x = 967,439.64

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