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Finding the Third Proportional to 252,924 and 529,230

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Solution

The third proportional to 252,924 and 529,230 is: 1,107,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,924 : 529,230 = 529,230 : x
  2. Step 2: Convert to fraction form
    252,924/529,230 = 529,230/x
  3. Step 3: Cross multiply
    252,924x = 529,230 × 529,230
  4. Step 4: Simplify right side
    252,924x = 280,084,392,900
  5. Step 5: Solve for x
    x = 280,084,392,900/252,924
  6. Step 6: Final answer
    x = 1,107,385.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.