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Finding the Third Proportional to 214,282 and 460,814

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Solution

The third proportional to 214,282 and 460,814 is: 990,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,282 : 460,814 = 460,814 : x
  2. Step 2: Convert to fraction form
    214,282/460,814 = 460,814/x
  3. Step 3: Cross multiply
    214,282x = 460,814 × 460,814
  4. Step 4: Simplify right side
    214,282x = 212,349,542,596
  5. Step 5: Solve for x
    x = 212,349,542,596/214,282
  6. Step 6: Final answer
    x = 990,981.71

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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.