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Finding the Third Proportional to 352,908 and 832,960

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Solution

The third proportional to 352,908 and 832,960 is: 1,966,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,908 : 832,960 = 832,960 : x
  2. Step 2: Convert to fraction form
    352,908/832,960 = 832,960/x
  3. Step 3: Cross multiply
    352,908x = 832,960 × 832,960
  4. Step 4: Simplify right side
    352,908x = 693,822,361,600
  5. Step 5: Solve for x
    x = 693,822,361,600/352,908
  6. Step 6: Final answer
    x = 1,966,014.83

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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.