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Finding the Third Proportional to 184,623 and 403,416

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Solution

The third proportional to 184,623 and 403,416 is: 881,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,623 : 403,416 = 403,416 : x
  2. Step 2: Convert to fraction form
    184,623/403,416 = 403,416/x
  3. Step 3: Cross multiply
    184,623x = 403,416 × 403,416
  4. Step 4: Simplify right side
    184,623x = 162,744,469,056
  5. Step 5: Solve for x
    x = 162,744,469,056/184,623
  6. Step 6: Final answer
    x = 881,496.18

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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.