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Finding the Third Proportional to 270,054 and 590,958

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Solution

The third proportional to 270,054 and 590,958 is: 1,293,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,054 : 590,958 = 590,958 : x
  2. Step 2: Convert to fraction form
    270,054/590,958 = 590,958/x
  3. Step 3: Cross multiply
    270,054x = 590,958 × 590,958
  4. Step 4: Simplify right side
    270,054x = 349,231,357,764
  5. Step 5: Solve for x
    x = 349,231,357,764/270,054
  6. Step 6: Final answer
    x = 1,293,190.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.