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Finding the Third Proportional to 184,612 and 403,394

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Solution

The third proportional to 184,612 and 403,394 is: 881,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,612 : 403,394 = 403,394 : x
  2. Step 2: Convert to fraction form
    184,612/403,394 = 403,394/x
  3. Step 3: Cross multiply
    184,612x = 403,394 × 403,394
  4. Step 4: Simplify right side
    184,612x = 162,726,719,236
  5. Step 5: Solve for x
    x = 162,726,719,236/184,612
  6. Step 6: Final answer
    x = 881,452.56

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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.