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Finding the Third Proportional to 200,966 and 433,479

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Solution

The third proportional to 200,966 and 433,479 is: 935,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966 : 433,479 = 433,479 : x
  2. Step 2: Convert to fraction form
    200,966/433,479 = 433,479/x
  3. Step 3: Cross multiply
    200,966x = 433,479 × 433,479
  4. Step 4: Simplify right side
    200,966x = 187,904,043,441
  5. Step 5: Solve for x
    x = 187,904,043,441/200,966
  6. Step 6: Final answer
    x = 935,004.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.