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Finding the Third Proportional to 451,928 and 619,692

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Solution

The third proportional to 451,928 and 619,692 is: 849,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,928 : 619,692 = 619,692 : x
  2. Step 2: Convert to fraction form
    451,928/619,692 = 619,692/x
  3. Step 3: Cross multiply
    451,928x = 619,692 × 619,692
  4. Step 4: Simplify right side
    451,928x = 384,018,174,864
  5. Step 5: Solve for x
    x = 384,018,174,864/451,928
  6. Step 6: Final answer
    x = 849,733.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.