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Finding the Third Proportional to 299,436.75 and 687,233.25

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Solution

The third proportional to 299,436.75 and 687,233.25 is: 1,577,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.75 : 687,233.25 = 687,233.25 : x
  2. Step 2: Convert to fraction form
    299,436.75/687,233.25 = 687,233.25/x
  3. Step 3: Cross multiply
    299,436.75x = 687,233.25 × 687,233.25
  4. Step 4: Simplify right side
    299,436.75x = 472,289,539,905.56
  5. Step 5: Solve for x
    x = 472,289,539,905.56/299,436.75
  6. Step 6: Final answer
    x = 1,577,259.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.