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Finding the Third Proportional to 323,908 and 706,765

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Solution

The third proportional to 323,908 and 706,765 is: 1,542,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,908 : 706,765 = 706,765 : x
  2. Step 2: Convert to fraction form
    323,908/706,765 = 706,765/x
  3. Step 3: Cross multiply
    323,908x = 706,765 × 706,765
  4. Step 4: Simplify right side
    323,908x = 499,516,765,225
  5. Step 5: Solve for x
    x = 499,516,765,225/323,908
  6. Step 6: Final answer
    x = 1,542,156.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.