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Finding the Third Proportional to 200,656 and 433,576

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Solution

The third proportional to 200,656 and 433,576 is: 936,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,656 : 433,576 = 433,576 : x
  2. Step 2: Convert to fraction form
    200,656/433,576 = 433,576/x
  3. Step 3: Cross multiply
    200,656x = 433,576 × 433,576
  4. Step 4: Simplify right side
    200,656x = 187,988,147,776
  5. Step 5: Solve for x
    x = 187,988,147,776/200,656
  6. Step 6: Final answer
    x = 936,867.81

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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.