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Finding the Third Proportional to 214,980 and 322,433

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Solution

The third proportional to 214,980 and 322,433 is: 483,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980 : 322,433 = 322,433 : x
  2. Step 2: Convert to fraction form
    214,980/322,433 = 322,433/x
  3. Step 3: Cross multiply
    214,980x = 322,433 × 322,433
  4. Step 4: Simplify right side
    214,980x = 103,963,039,489
  5. Step 5: Solve for x
    x = 103,963,039,489/214,980
  6. Step 6: Final answer
    x = 483,594.01

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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.