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Finding the Third Proportional to 262,384 and 574,016

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Solution

The third proportional to 262,384 and 574,016 is: 1,255,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,384 : 574,016 = 574,016 : x
  2. Step 2: Convert to fraction form
    262,384/574,016 = 574,016/x
  3. Step 3: Cross multiply
    262,384x = 574,016 × 574,016
  4. Step 4: Simplify right side
    262,384x = 329,494,368,256
  5. Step 5: Solve for x
    x = 329,494,368,256/262,384
  6. Step 6: Final answer
    x = 1,255,771.57

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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.