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Finding the Third Proportional to 184,623 and 403,410

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Solution

The third proportional to 184,623 and 403,410 is: 881,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,623 : 403,410 = 403,410 : x
  2. Step 2: Convert to fraction form
    184,623/403,410 = 403,410/x
  3. Step 3: Cross multiply
    184,623x = 403,410 × 403,410
  4. Step 4: Simplify right side
    184,623x = 162,739,628,100
  5. Step 5: Solve for x
    x = 162,739,628,100/184,623
  6. Step 6: Final answer
    x = 881,469.96

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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.