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Finding the Third Proportional to 414,613.69 and 904,268.81

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Solution

The third proportional to 414,613.69 and 904,268.81 is: 1,972,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,613.69 : 904,268.81 = 904,268.81 : x
  2. Step 2: Convert to fraction form
    414,613.69/904,268.81 = 904,268.81/x
  3. Step 3: Cross multiply
    414,613.69x = 904,268.81 × 904,268.81
  4. Step 4: Simplify right side
    414,613.69x = 817,702,085,260.16
  5. Step 5: Solve for x
    x = 817,702,085,260.16/414,613.69
  6. Step 6: Final answer
    x = 1,972,202.34

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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.