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Finding the Third Proportional to 417,723 and 857,577

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Solution

The third proportional to 417,723 and 857,577 is: 1,760,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,723 : 857,577 = 857,577 : x
  2. Step 2: Convert to fraction form
    417,723/857,577 = 857,577/x
  3. Step 3: Cross multiply
    417,723x = 857,577 × 857,577
  4. Step 4: Simplify right side
    417,723x = 735,438,310,929
  5. Step 5: Solve for x
    x = 735,438,310,929/417,723
  6. Step 6: Final answer
    x = 1,760,588.50

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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.