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Finding the Third Proportional to 241,139 and 529,571

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Solution

The third proportional to 241,139 and 529,571 is: 1,163,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,139 : 529,571 = 529,571 : x
  2. Step 2: Convert to fraction form
    241,139/529,571 = 529,571/x
  3. Step 3: Cross multiply
    241,139x = 529,571 × 529,571
  4. Step 4: Simplify right side
    241,139x = 280,445,444,041
  5. Step 5: Solve for x
    x = 280,445,444,041/241,139
  6. Step 6: Final answer
    x = 1,163,003.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.