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Finding the Third Proportional to 349,883 and 557,004

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Solution

The third proportional to 349,883 and 557,004 is: 886,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,883 : 557,004 = 557,004 : x
  2. Step 2: Convert to fraction form
    349,883/557,004 = 557,004/x
  3. Step 3: Cross multiply
    349,883x = 557,004 × 557,004
  4. Step 4: Simplify right side
    349,883x = 310,253,456,016
  5. Step 5: Solve for x
    x = 310,253,456,016/349,883
  6. Step 6: Final answer
    x = 886,734.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.