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Finding the Third Proportional to 352,902 and 832,945

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Solution

The third proportional to 352,902 and 832,945 is: 1,965,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,902 : 832,945 = 832,945 : x
  2. Step 2: Convert to fraction form
    352,902/832,945 = 832,945/x
  3. Step 3: Cross multiply
    352,902x = 832,945 × 832,945
  4. Step 4: Simplify right side
    352,902x = 693,797,373,025
  5. Step 5: Solve for x
    x = 693,797,373,025/352,902
  6. Step 6: Final answer
    x = 1,965,977.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.