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Finding the Third Proportional to 433,848 and 967,302

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Solution

The third proportional to 433,848 and 967,302 is: 2,156,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,848 : 967,302 = 967,302 : x
  2. Step 2: Convert to fraction form
    433,848/967,302 = 967,302/x
  3. Step 3: Cross multiply
    433,848x = 967,302 × 967,302
  4. Step 4: Simplify right side
    433,848x = 935,673,159,204
  5. Step 5: Solve for x
    x = 935,673,159,204/433,848
  6. Step 6: Final answer
    x = 2,156,684.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.