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Finding the Third Proportional to 230,789 and 484,903

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Solution

The third proportional to 230,789 and 484,903 is: 1,018,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,789 : 484,903 = 484,903 : x
  2. Step 2: Convert to fraction form
    230,789/484,903 = 484,903/x
  3. Step 3: Cross multiply
    230,789x = 484,903 × 484,903
  4. Step 4: Simplify right side
    230,789x = 235,130,919,409
  5. Step 5: Solve for x
    x = 235,130,919,409/230,789
  6. Step 6: Final answer
    x = 1,018,813.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.