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Finding the Third Proportional to 236,044.13 and 513,990.56

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Solution

The third proportional to 236,044.13 and 513,990.56 is: 1,119,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,044.13 : 513,990.56 = 513,990.56 : x
  2. Step 2: Convert to fraction form
    236,044.13/513,990.56 = 513,990.56/x
  3. Step 3: Cross multiply
    236,044.13x = 513,990.56 × 513,990.56
  4. Step 4: Simplify right side
    236,044.13x = 264,186,298,339.07
  5. Step 5: Solve for x
    x = 264,186,298,339.07/236,044.13
  6. Step 6: Final answer
    x = 1,119,224.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.