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Finding the Third Proportional to 214,456.50 and 464,216.06

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Solution

The third proportional to 214,456.50 and 464,216.06 is: 1,004,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,456.50 : 464,216.06 = 464,216.06 : x
  2. Step 2: Convert to fraction form
    214,456.50/464,216.06 = 464,216.06/x
  3. Step 3: Cross multiply
    214,456.50x = 464,216.06 × 464,216.06
  4. Step 4: Simplify right side
    214,456.50x = 215,496,552,683.00
  5. Step 5: Solve for x
    x = 215,496,552,683.00/214,456.50
  6. Step 6: Final answer
    x = 1,004,849.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.