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Finding the Third Proportional to 399,356 and 868,696

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Solution

The third proportional to 399,356 and 868,696 is: 1,889,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,356 : 868,696 = 868,696 : x
  2. Step 2: Convert to fraction form
    399,356/868,696 = 868,696/x
  3. Step 3: Cross multiply
    399,356x = 868,696 × 868,696
  4. Step 4: Simplify right side
    399,356x = 754,632,740,416
  5. Step 5: Solve for x
    x = 754,632,740,416/399,356
  6. Step 6: Final answer
    x = 1,889,624.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.