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Finding the Third Proportional to 270,034 and 590,922

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Solution

The third proportional to 270,034 and 590,922 is: 1,293,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,034 : 590,922 = 590,922 : x
  2. Step 2: Convert to fraction form
    270,034/590,922 = 590,922/x
  3. Step 3: Cross multiply
    270,034x = 590,922 × 590,922
  4. Step 4: Simplify right side
    270,034x = 349,188,810,084
  5. Step 5: Solve for x
    x = 349,188,810,084/270,034
  6. Step 6: Final answer
    x = 1,293,129.05

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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.