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Finding the Third Proportional to 218,396 and 463,036

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Solution

The third proportional to 218,396 and 463,036 is: 981,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,396 : 463,036 = 463,036 : x
  2. Step 2: Convert to fraction form
    218,396/463,036 = 463,036/x
  3. Step 3: Cross multiply
    218,396x = 463,036 × 463,036
  4. Step 4: Simplify right side
    218,396x = 214,402,337,296
  5. Step 5: Solve for x
    x = 214,402,337,296/218,396
  6. Step 6: Final answer
    x = 981,713.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.