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Finding the Third Proportional to 214,989 and 502,035

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Solution

The third proportional to 214,989 and 502,035 is: 1,172,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,989 : 502,035 = 502,035 : x
  2. Step 2: Convert to fraction form
    214,989/502,035 = 502,035/x
  3. Step 3: Cross multiply
    214,989x = 502,035 × 502,035
  4. Step 4: Simplify right side
    214,989x = 252,039,141,225
  5. Step 5: Solve for x
    x = 252,039,141,225/214,989
  6. Step 6: Final answer
    x = 1,172,335.06

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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.