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Finding the Third Proportional to 214,690.50 and 462,869.44

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Solution

The third proportional to 214,690.50 and 462,869.44 is: 997,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690.50 : 462,869.44 = 462,869.44 : x
  2. Step 2: Convert to fraction form
    214,690.50/462,869.44 = 462,869.44/x
  3. Step 3: Cross multiply
    214,690.50x = 462,869.44 × 462,869.44
  4. Step 4: Simplify right side
    214,690.50x = 214,248,116,171.57
  5. Step 5: Solve for x
    x = 214,248,116,171.57/214,690.50
  6. Step 6: Final answer
    x = 997,939.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.