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Finding the Third Proportional to 433,932 and 671,832

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Solution

The third proportional to 433,932 and 671,832 is: 1,040,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,932 : 671,832 = 671,832 : x
  2. Step 2: Convert to fraction form
    433,932/671,832 = 671,832/x
  3. Step 3: Cross multiply
    433,932x = 671,832 × 671,832
  4. Step 4: Simplify right side
    433,932x = 451,358,236,224
  5. Step 5: Solve for x
    x = 451,358,236,224/433,932
  6. Step 6: Final answer
    x = 1,040,158.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.