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Finding the Third Proportional to 230,763 and 500,889

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Solution

The third proportional to 230,763 and 500,889 is: 1,087,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,763 : 500,889 = 500,889 : x
  2. Step 2: Convert to fraction form
    230,763/500,889 = 500,889/x
  3. Step 3: Cross multiply
    230,763x = 500,889 × 500,889
  4. Step 4: Simplify right side
    230,763x = 250,889,790,321
  5. Step 5: Solve for x
    x = 250,889,790,321/230,763
  6. Step 6: Final answer
    x = 1,087,218.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.