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Finding the Third Proportional to 541,244 and 824,625

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Solution

The third proportional to 541,244 and 824,625 is: 1,256,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,244 : 824,625 = 824,625 : x
  2. Step 2: Convert to fraction form
    541,244/824,625 = 824,625/x
  3. Step 3: Cross multiply
    541,244x = 824,625 × 824,625
  4. Step 4: Simplify right side
    541,244x = 680,006,390,625
  5. Step 5: Solve for x
    x = 680,006,390,625/541,244
  6. Step 6: Final answer
    x = 1,256,376.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.