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Finding the Third Proportional to 219,615 and 363,483

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Solution

The third proportional to 219,615 and 363,483 is: 601,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,615 : 363,483 = 363,483 : x
  2. Step 2: Convert to fraction form
    219,615/363,483 = 363,483/x
  3. Step 3: Cross multiply
    219,615x = 363,483 × 363,483
  4. Step 4: Simplify right side
    219,615x = 132,119,891,289
  5. Step 5: Solve for x
    x = 132,119,891,289/219,615
  6. Step 6: Final answer
    x = 601,597.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.