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Finding the Third Proportional to 283,398.75 and 598,789.13

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Solution

The third proportional to 283,398.75 and 598,789.13 is: 1,265,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,398.75 : 598,789.13 = 598,789.13 : x
  2. Step 2: Convert to fraction form
    283,398.75/598,789.13 = 598,789.13/x
  3. Step 3: Cross multiply
    283,398.75x = 598,789.13 × 598,789.13
  4. Step 4: Simplify right side
    283,398.75x = 358,548,416,218.27
  5. Step 5: Solve for x
    x = 358,548,416,218.27/283,398.75
  6. Step 6: Final answer
    x = 1,265,172.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.