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Finding the Third Proportional to 214,970 and 322,418

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Solution

The third proportional to 214,970 and 322,418 is: 483,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970 : 322,418 = 322,418 : x
  2. Step 2: Convert to fraction form
    214,970/322,418 = 322,418/x
  3. Step 3: Cross multiply
    214,970x = 322,418 × 322,418
  4. Step 4: Simplify right side
    214,970x = 103,953,366,724
  5. Step 5: Solve for x
    x = 103,953,366,724/214,970
  6. Step 6: Final answer
    x = 483,571.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.