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Finding the Third Proportional to 283,403.25 and 598,797

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Solution

The third proportional to 283,403.25 and 598,797 is: 1,265,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,403.25 : 598,797 = 598,797 : x
  2. Step 2: Convert to fraction form
    283,403.25/598,797 = 598,797/x
  3. Step 3: Cross multiply
    283,403.25x = 598,797 × 598,797
  4. Step 4: Simplify right side
    283,403.25x = 358,557,847,209
  5. Step 5: Solve for x
    x = 358,557,847,209/283,403.25
  6. Step 6: Final answer
    x = 1,265,186.08

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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.