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Finding the Third Proportional to 200,127 and 433,469

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Solution

The third proportional to 200,127 and 433,469 is: 938,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,127 : 433,469 = 433,469 : x
  2. Step 2: Convert to fraction form
    200,127/433,469 = 433,469/x
  3. Step 3: Cross multiply
    200,127x = 433,469 × 433,469
  4. Step 4: Simplify right side
    200,127x = 187,895,373,961
  5. Step 5: Solve for x
    x = 187,895,373,961/200,127
  6. Step 6: Final answer
    x = 938,880.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.