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Finding the Third Proportional to 417,721 and 857,573

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Solution

The third proportional to 417,721 and 857,573 is: 1,760,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,721 : 857,573 = 857,573 : x
  2. Step 2: Convert to fraction form
    417,721/857,573 = 857,573/x
  3. Step 3: Cross multiply
    417,721x = 857,573 × 857,573
  4. Step 4: Simplify right side
    417,721x = 735,431,450,329
  5. Step 5: Solve for x
    x = 735,431,450,329/417,721
  6. Step 6: Final answer
    x = 1,760,580.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.