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Finding the Third Proportional to 184,617 and 403,398

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Solution

The third proportional to 184,617 and 403,398 is: 881,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,617 : 403,398 = 403,398 : x
  2. Step 2: Convert to fraction form
    184,617/403,398 = 403,398/x
  3. Step 3: Cross multiply
    184,617x = 403,398 × 403,398
  4. Step 4: Simplify right side
    184,617x = 162,729,946,404
  5. Step 5: Solve for x
    x = 162,729,946,404/184,617
  6. Step 6: Final answer
    x = 881,446.16

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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.