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Finding the Third Proportional to 200,123 and 433,462

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Solution

The third proportional to 200,123 and 433,462 is: 938,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,123 : 433,462 = 433,462 : x
  2. Step 2: Convert to fraction form
    200,123/433,462 = 433,462/x
  3. Step 3: Cross multiply
    200,123x = 433,462 × 433,462
  4. Step 4: Simplify right side
    200,123x = 187,889,305,444
  5. Step 5: Solve for x
    x = 187,889,305,444/200,123
  6. Step 6: Final answer
    x = 938,869.12

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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.