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Finding the Third Proportional to 184,259 and 399,622

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Solution

The third proportional to 184,259 and 399,622 is: 866,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,259 : 399,622 = 399,622 : x
  2. Step 2: Convert to fraction form
    184,259/399,622 = 399,622/x
  3. Step 3: Cross multiply
    184,259x = 399,622 × 399,622
  4. Step 4: Simplify right side
    184,259x = 159,697,742,884
  5. Step 5: Solve for x
    x = 159,697,742,884/184,259
  6. Step 6: Final answer
    x = 866,702.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.