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Finding the Third Proportional to 241,500 and 529,656

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Solution

The third proportional to 241,500 and 529,656 is: 1,161,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,500 : 529,656 = 529,656 : x
  2. Step 2: Convert to fraction form
    241,500/529,656 = 529,656/x
  3. Step 3: Cross multiply
    241,500x = 529,656 × 529,656
  4. Step 4: Simplify right side
    241,500x = 280,535,478,336
  5. Step 5: Solve for x
    x = 280,535,478,336/241,500
  6. Step 6: Final answer
    x = 1,161,637.59

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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.