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Finding the Third Proportional to 250,711 and 529,340

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Solution

The third proportional to 250,711 and 529,340 is: 1,117,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,711 : 529,340 = 529,340 : x
  2. Step 2: Convert to fraction form
    250,711/529,340 = 529,340/x
  3. Step 3: Cross multiply
    250,711x = 529,340 × 529,340
  4. Step 4: Simplify right side
    250,711x = 280,200,835,600
  5. Step 5: Solve for x
    x = 280,200,835,600/250,711
  6. Step 6: Final answer
    x = 1,117,624.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.