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Finding the Third Proportional to 241,922 and 555,269

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Solution

The third proportional to 241,922 and 555,269 is: 1,274,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,922 : 555,269 = 555,269 : x
  2. Step 2: Convert to fraction form
    241,922/555,269 = 555,269/x
  3. Step 3: Cross multiply
    241,922x = 555,269 × 555,269
  4. Step 4: Simplify right side
    241,922x = 308,323,662,361
  5. Step 5: Solve for x
    x = 308,323,662,361/241,922
  6. Step 6: Final answer
    x = 1,274,475.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.