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Finding the Third Proportional to 292,410 and 441,801

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Solution

The third proportional to 292,410 and 441,801 is: 667,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,410 : 441,801 = 441,801 : x
  2. Step 2: Convert to fraction form
    292,410/441,801 = 441,801/x
  3. Step 3: Cross multiply
    292,410x = 441,801 × 441,801
  4. Step 4: Simplify right side
    292,410x = 195,188,123,601
  5. Step 5: Solve for x
    x = 195,188,123,601/292,410
  6. Step 6: Final answer
    x = 667,515.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.