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Finding the Third Proportional to 201,297 and 440,457

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Solution

The third proportional to 201,297 and 440,457 is: 963,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297 : 440,457 = 440,457 : x
  2. Step 2: Convert to fraction form
    201,297/440,457 = 440,457/x
  3. Step 3: Cross multiply
    201,297x = 440,457 × 440,457
  4. Step 4: Simplify right side
    201,297x = 194,002,368,849
  5. Step 5: Solve for x
    x = 194,002,368,849/201,297
  6. Step 6: Final answer
    x = 963,761.85

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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.