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Finding the Third Proportional to 234,598.50 and 515,853

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Solution

The third proportional to 234,598.50 and 515,853 is: 1,134,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,598.50 : 515,853 = 515,853 : x
  2. Step 2: Convert to fraction form
    234,598.50/515,853 = 515,853/x
  3. Step 3: Cross multiply
    234,598.50x = 515,853 × 515,853
  4. Step 4: Simplify right side
    234,598.50x = 266,104,317,609
  5. Step 5: Solve for x
    x = 266,104,317,609/234,598.50
  6. Step 6: Final answer
    x = 1,134,296.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.