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Finding the Third Proportional to 264,384 and 558,906.75

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Solution

The third proportional to 264,384 and 558,906.75 is: 1,181,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384 : 558,906.75 = 558,906.75 : x
  2. Step 2: Convert to fraction form
    264,384/558,906.75 = 558,906.75/x
  3. Step 3: Cross multiply
    264,384x = 558,906.75 × 558,906.75
  4. Step 4: Simplify right side
    264,384x = 312,376,755,195.56
  5. Step 5: Solve for x
    x = 312,376,755,195.56/264,384
  6. Step 6: Final answer
    x = 1,181,526.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.