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Finding the Third Proportional to 432,848 and 646,849

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Solution

The third proportional to 432,848 and 646,849 is: 966,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,848 : 646,849 = 646,849 : x
  2. Step 2: Convert to fraction form
    432,848/646,849 = 646,849/x
  3. Step 3: Cross multiply
    432,848x = 646,849 × 646,849
  4. Step 4: Simplify right side
    432,848x = 418,413,628,801
  5. Step 5: Solve for x
    x = 418,413,628,801/432,848
  6. Step 6: Final answer
    x = 966,652.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.