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Finding the Third Proportional to 214,993 and 502,045

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Solution

The third proportional to 214,993 and 502,045 is: 1,172,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,993 : 502,045 = 502,045 : x
  2. Step 2: Convert to fraction form
    214,993/502,045 = 502,045/x
  3. Step 3: Cross multiply
    214,993x = 502,045 × 502,045
  4. Step 4: Simplify right side
    214,993x = 252,049,182,025
  5. Step 5: Solve for x
    x = 252,049,182,025/214,993
  6. Step 6: Final answer
    x = 1,172,359.95

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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.