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Finding the Third Proportional to 241,066.69 and 518,412.38

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Solution

The third proportional to 241,066.69 and 518,412.38 is: 1,114,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,066.69 : 518,412.38 = 518,412.38 : x
  2. Step 2: Convert to fraction form
    241,066.69/518,412.38 = 518,412.38/x
  3. Step 3: Cross multiply
    241,066.69x = 518,412.38 × 518,412.38
  4. Step 4: Simplify right side
    241,066.69x = 268,751,390,553.14
  5. Step 5: Solve for x
    x = 268,751,390,553.14/241,066.69
  6. Step 6: Final answer
    x = 1,114,842.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.