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Finding the Third Proportional to 184,479 and 403,449

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Solution

The third proportional to 184,479 and 403,449 is: 882,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,479 : 403,449 = 403,449 : x
  2. Step 2: Convert to fraction form
    184,479/403,449 = 403,449/x
  3. Step 3: Cross multiply
    184,479x = 403,449 × 403,449
  4. Step 4: Simplify right side
    184,479x = 162,771,095,601
  5. Step 5: Solve for x
    x = 162,771,095,601/184,479
  6. Step 6: Final answer
    x = 882,328.59

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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.