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Finding the Third Proportional to 184,614 and 403,397

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Solution

The third proportional to 184,614 and 403,397 is: 881,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,614 : 403,397 = 403,397 : x
  2. Step 2: Convert to fraction form
    184,614/403,397 = 403,397/x
  3. Step 3: Cross multiply
    184,614x = 403,397 × 403,397
  4. Step 4: Simplify right side
    184,614x = 162,729,139,609
  5. Step 5: Solve for x
    x = 162,729,139,609/184,614
  6. Step 6: Final answer
    x = 881,456.12

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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.