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Finding the Third Proportional to 352,900 and 832,946

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Solution

The third proportional to 352,900 and 832,946 is: 1,965,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,900 : 832,946 = 832,946 : x
  2. Step 2: Convert to fraction form
    352,900/832,946 = 832,946/x
  3. Step 3: Cross multiply
    352,900x = 832,946 × 832,946
  4. Step 4: Simplify right side
    352,900x = 693,799,038,916
  5. Step 5: Solve for x
    x = 693,799,038,916/352,900
  6. Step 6: Final answer
    x = 1,965,993.31

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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.