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Finding the Third Proportional to 241,078 and 571,142

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Solution

The third proportional to 241,078 and 571,142 is: 1,353,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,078 : 571,142 = 571,142 : x
  2. Step 2: Convert to fraction form
    241,078/571,142 = 571,142/x
  3. Step 3: Cross multiply
    241,078x = 571,142 × 571,142
  4. Step 4: Simplify right side
    241,078x = 326,203,184,164
  5. Step 5: Solve for x
    x = 326,203,184,164/241,078
  6. Step 6: Final answer
    x = 1,353,102.25

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.