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Finding the Third Proportional to 214,540.50 and 462,803

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Solution

The third proportional to 214,540.50 and 462,803 is: 998,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,540.50 : 462,803 = 462,803 : x
  2. Step 2: Convert to fraction form
    214,540.50/462,803 = 462,803/x
  3. Step 3: Cross multiply
    214,540.50x = 462,803 × 462,803
  4. Step 4: Simplify right side
    214,540.50x = 214,186,616,809
  5. Step 5: Solve for x
    x = 214,186,616,809/214,540.50
  6. Step 6: Final answer
    x = 998,350.51

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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.