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Finding the Third Proportional to 352,904 and 832,950

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Solution

The third proportional to 352,904 and 832,950 is: 1,965,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,904 : 832,950 = 832,950 : x
  2. Step 2: Convert to fraction form
    352,904/832,950 = 832,950/x
  3. Step 3: Cross multiply
    352,904x = 832,950 × 832,950
  4. Step 4: Simplify right side
    352,904x = 693,805,702,500
  5. Step 5: Solve for x
    x = 693,805,702,500/352,904
  6. Step 6: Final answer
    x = 1,965,989.91

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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.