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Finding the Third Proportional to 184,482 and 403,469

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Solution

The third proportional to 184,482 and 403,469 is: 882,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,482 : 403,469 = 403,469 : x
  2. Step 2: Convert to fraction form
    184,482/403,469 = 403,469/x
  3. Step 3: Cross multiply
    184,482x = 403,469 × 403,469
  4. Step 4: Simplify right side
    184,482x = 162,787,233,961
  5. Step 5: Solve for x
    x = 162,787,233,961/184,482
  6. Step 6: Final answer
    x = 882,401.72

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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.