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Finding the Third Proportional to 352,898 and 832,942

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Solution

The third proportional to 352,898 and 832,942 is: 1,965,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,898 : 832,942 = 832,942 : x
  2. Step 2: Convert to fraction form
    352,898/832,942 = 832,942/x
  3. Step 3: Cross multiply
    352,898x = 832,942 × 832,942
  4. Step 4: Simplify right side
    352,898x = 693,792,375,364
  5. Step 5: Solve for x
    x = 693,792,375,364/352,898
  6. Step 6: Final answer
    x = 1,965,985.57

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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.