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Finding the Third Proportional to 541,242 and 824,622

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Solution

The third proportional to 541,242 and 824,622 is: 1,256,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,242 : 824,622 = 824,622 : x
  2. Step 2: Convert to fraction form
    541,242/824,622 = 824,622/x
  3. Step 3: Cross multiply
    541,242x = 824,622 × 824,622
  4. Step 4: Simplify right side
    541,242x = 680,001,442,884
  5. Step 5: Solve for x
    x = 680,001,442,884/541,242
  6. Step 6: Final answer
    x = 1,256,372.28

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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.