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Finding the Third Proportional to 272,582 and 413,794

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Solution

The third proportional to 272,582 and 413,794 is: 628,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,582 : 413,794 = 413,794 : x
  2. Step 2: Convert to fraction form
    272,582/413,794 = 413,794/x
  3. Step 3: Cross multiply
    272,582x = 413,794 × 413,794
  4. Step 4: Simplify right side
    272,582x = 171,225,474,436
  5. Step 5: Solve for x
    x = 171,225,474,436/272,582
  6. Step 6: Final answer
    x = 628,161.34

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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.