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Finding the Third Proportional to 200,962 and 433,471

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Solution

The third proportional to 200,962 and 433,471 is: 934,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962 : 433,471 = 433,471 : x
  2. Step 2: Convert to fraction form
    200,962/433,471 = 433,471/x
  3. Step 3: Cross multiply
    200,962x = 433,471 × 433,471
  4. Step 4: Simplify right side
    200,962x = 187,897,107,841
  5. Step 5: Solve for x
    x = 187,897,107,841/200,962
  6. Step 6: Final answer
    x = 934,988.25

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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.