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Finding the Third Proportional to 241,073 and 571,131

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Solution

The third proportional to 241,073 and 571,131 is: 1,353,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,073 : 571,131 = 571,131 : x
  2. Step 2: Convert to fraction form
    241,073/571,131 = 571,131/x
  3. Step 3: Cross multiply
    241,073x = 571,131 × 571,131
  4. Step 4: Simplify right side
    241,073x = 326,190,619,161
  5. Step 5: Solve for x
    x = 326,190,619,161/241,073
  6. Step 6: Final answer
    x = 1,353,078.19

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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.