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Finding the Third Proportional to 367,056 and 808,615

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Solution

The third proportional to 367,056 and 808,615 is: 1,781,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 808,615 = 808,615 : x
  2. Step 2: Convert to fraction form
    367,056/808,615 = 808,615/x
  3. Step 3: Cross multiply
    367,056x = 808,615 × 808,615
  4. Step 4: Simplify right side
    367,056x = 653,858,218,225
  5. Step 5: Solve for x
    x = 653,858,218,225/367,056
  6. Step 6: Final answer
    x = 1,781,358.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.