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Finding the Third Proportional to 214,587 and 461,898

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Solution

The third proportional to 214,587 and 461,898 is: 994,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,587 : 461,898 = 461,898 : x
  2. Step 2: Convert to fraction form
    214,587/461,898 = 461,898/x
  3. Step 3: Cross multiply
    214,587x = 461,898 × 461,898
  4. Step 4: Simplify right side
    214,587x = 213,349,762,404
  5. Step 5: Solve for x
    x = 213,349,762,404/214,587
  6. Step 6: Final answer
    x = 994,234.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.