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Finding the Third Proportional to 389,808 and 852,516

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Solution

The third proportional to 389,808 and 852,516 is: 1,864,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,808 : 852,516 = 852,516 : x
  2. Step 2: Convert to fraction form
    389,808/852,516 = 852,516/x
  3. Step 3: Cross multiply
    389,808x = 852,516 × 852,516
  4. Step 4: Simplify right side
    389,808x = 726,783,530,256
  5. Step 5: Solve for x
    x = 726,783,530,256/389,808
  6. Step 6: Final answer
    x = 1,864,465.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.