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Finding the Third Proportional to 217,375.50 and 463,641

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Solution

The third proportional to 217,375.50 and 463,641 is: 988,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,375.50 : 463,641 = 463,641 : x
  2. Step 2: Convert to fraction form
    217,375.50/463,641 = 463,641/x
  3. Step 3: Cross multiply
    217,375.50x = 463,641 × 463,641
  4. Step 4: Simplify right side
    217,375.50x = 214,962,976,881
  5. Step 5: Solve for x
    x = 214,962,976,881/217,375.50
  6. Step 6: Final answer
    x = 988,901.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.