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Finding the Third Proportional to 214,991 and 502,037.50

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Solution

The third proportional to 214,991 and 502,037.50 is: 1,172,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,991 : 502,037.50 = 502,037.50 : x
  2. Step 2: Convert to fraction form
    214,991/502,037.50 = 502,037.50/x
  3. Step 3: Cross multiply
    214,991x = 502,037.50 × 502,037.50
  4. Step 4: Simplify right side
    214,991x = 252,041,651,406.25
  5. Step 5: Solve for x
    x = 252,041,651,406.25/214,991
  6. Step 6: Final answer
    x = 1,172,335.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.