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Finding the Third Proportional to 199,696 and 430,496

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Solution

The third proportional to 199,696 and 430,496 is: 928,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,696 : 430,496 = 430,496 : x
  2. Step 2: Convert to fraction form
    199,696/430,496 = 430,496/x
  3. Step 3: Cross multiply
    199,696x = 430,496 × 430,496
  4. Step 4: Simplify right side
    199,696x = 185,326,806,016
  5. Step 5: Solve for x
    x = 185,326,806,016/199,696
  6. Step 6: Final answer
    x = 928,044.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.