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Finding the Third Proportional to 184,044 and 409,560

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Solution

The third proportional to 184,044 and 409,560 is: 911,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,044 : 409,560 = 409,560 : x
  2. Step 2: Convert to fraction form
    184,044/409,560 = 409,560/x
  3. Step 3: Cross multiply
    184,044x = 409,560 × 409,560
  4. Step 4: Simplify right side
    184,044x = 167,739,393,600
  5. Step 5: Solve for x
    x = 167,739,393,600/184,044
  6. Step 6: Final answer
    x = 911,409.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.