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Finding the Third Proportional to 349,881 and 557,001

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Solution

The third proportional to 349,881 and 557,001 is: 886,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,881 : 557,001 = 557,001 : x
  2. Step 2: Convert to fraction form
    349,881/557,001 = 557,001/x
  3. Step 3: Cross multiply
    349,881x = 557,001 × 557,001
  4. Step 4: Simplify right side
    349,881x = 310,250,114,001
  5. Step 5: Solve for x
    x = 310,250,114,001/349,881
  6. Step 6: Final answer
    x = 886,730.39

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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.