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Finding the Third Proportional to 352,840 and 832,798

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Solution

The third proportional to 352,840 and 832,798 is: 1,965,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,840 : 832,798 = 832,798 : x
  2. Step 2: Convert to fraction form
    352,840/832,798 = 832,798/x
  3. Step 3: Cross multiply
    352,840x = 832,798 × 832,798
  4. Step 4: Simplify right side
    352,840x = 693,552,508,804
  5. Step 5: Solve for x
    x = 693,552,508,804/352,840
  6. Step 6: Final answer
    x = 1,965,628.92

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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.