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Finding the Third Proportional to 200,977 and 442,435

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Solution

The third proportional to 200,977 and 442,435 is: 973,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977 : 442,435 = 442,435 : x
  2. Step 2: Convert to fraction form
    200,977/442,435 = 442,435/x
  3. Step 3: Cross multiply
    200,977x = 442,435 × 442,435
  4. Step 4: Simplify right side
    200,977x = 195,748,729,225
  5. Step 5: Solve for x
    x = 195,748,729,225/200,977
  6. Step 6: Final answer
    x = 973,985.73

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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.