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Finding the Third Proportional to 184,416 and 404,544

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Solution

The third proportional to 184,416 and 404,544 is: 887,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,416 : 404,544 = 404,544 : x
  2. Step 2: Convert to fraction form
    184,416/404,544 = 404,544/x
  3. Step 3: Cross multiply
    184,416x = 404,544 × 404,544
  4. Step 4: Simplify right side
    184,416x = 163,655,847,936
  5. Step 5: Solve for x
    x = 163,655,847,936/184,416
  6. Step 6: Final answer
    x = 887,427.60

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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.