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Finding the Third Proportional to 184,711 and 398,947

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Solution

The third proportional to 184,711 and 398,947 is: 861,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,711 : 398,947 = 398,947 : x
  2. Step 2: Convert to fraction form
    184,711/398,947 = 398,947/x
  3. Step 3: Cross multiply
    184,711x = 398,947 × 398,947
  4. Step 4: Simplify right side
    184,711x = 159,158,708,809
  5. Step 5: Solve for x
    x = 159,158,708,809/184,711
  6. Step 6: Final answer
    x = 861,663.40

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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.