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Finding the Third Proportional to 184,513 and 399,627

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Solution

The third proportional to 184,513 and 399,627 is: 865,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,513 : 399,627 = 399,627 : x
  2. Step 2: Convert to fraction form
    184,513/399,627 = 399,627/x
  3. Step 3: Cross multiply
    184,513x = 399,627 × 399,627
  4. Step 4: Simplify right side
    184,513x = 159,701,739,129
  5. Step 5: Solve for x
    x = 159,701,739,129/184,513
  6. Step 6: Final answer
    x = 865,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.