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Finding the Third Proportional to 606,268.13 and 842,958.56

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Solution

The third proportional to 606,268.13 and 842,958.56 is: 1,172,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,268.13 : 842,958.56 = 842,958.56 : x
  2. Step 2: Convert to fraction form
    606,268.13/842,958.56 = 842,958.56/x
  3. Step 3: Cross multiply
    606,268.13x = 842,958.56 × 842,958.56
  4. Step 4: Simplify right side
    606,268.13x = 710,579,138,092.07
  5. Step 5: Solve for x
    x = 710,579,138,092.07/606,268.13
  6. Step 6: Final answer
    x = 1,172,054.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.