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Finding the Third Proportional to 247,350 and 529,683

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Solution

The third proportional to 247,350 and 529,683 is: 1,134,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,350 : 529,683 = 529,683 : x
  2. Step 2: Convert to fraction form
    247,350/529,683 = 529,683/x
  3. Step 3: Cross multiply
    247,350x = 529,683 × 529,683
  4. Step 4: Simplify right side
    247,350x = 280,564,080,489
  5. Step 5: Solve for x
    x = 280,564,080,489/247,350
  6. Step 6: Final answer
    x = 1,134,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.