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Finding the Third Proportional to 241,876.13 and 529,777.13

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Solution

The third proportional to 241,876.13 and 529,777.13 is: 1,160,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,876.13 : 529,777.13 = 529,777.13 : x
  2. Step 2: Convert to fraction form
    241,876.13/529,777.13 = 529,777.13/x
  3. Step 3: Cross multiply
    241,876.13x = 529,777.13 × 529,777.13
  4. Step 4: Simplify right side
    241,876.13x = 280,663,802,173.27
  5. Step 5: Solve for x
    x = 280,663,802,173.27/241,876.13
  6. Step 6: Final answer
    x = 1,160,361.74

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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.