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Finding the Third Proportional to 349,887 and 557,010

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Solution

The third proportional to 349,887 and 557,010 is: 886,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,887 : 557,010 = 557,010 : x
  2. Step 2: Convert to fraction form
    349,887/557,010 = 557,010/x
  3. Step 3: Cross multiply
    349,887x = 557,010 × 557,010
  4. Step 4: Simplify right side
    349,887x = 310,260,140,100
  5. Step 5: Solve for x
    x = 310,260,140,100/349,887
  6. Step 6: Final answer
    x = 886,743.83

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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.