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Finding the Third Proportional to 214,917 and 468,652.50

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Solution

The third proportional to 214,917 and 468,652.50 is: 1,021,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,917 : 468,652.50 = 468,652.50 : x
  2. Step 2: Convert to fraction form
    214,917/468,652.50 = 468,652.50/x
  3. Step 3: Cross multiply
    214,917x = 468,652.50 × 468,652.50
  4. Step 4: Simplify right side
    214,917x = 219,635,165,756.25
  5. Step 5: Solve for x
    x = 219,635,165,756.25/214,917
  6. Step 6: Final answer
    x = 1,021,953.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.