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Finding the Third Proportional to 311,712.75 and 483,608.25

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Solution

The third proportional to 311,712.75 and 483,608.25 is: 750,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,712.75 : 483,608.25 = 483,608.25 : x
  2. Step 2: Convert to fraction form
    311,712.75/483,608.25 = 483,608.25/x
  3. Step 3: Cross multiply
    311,712.75x = 483,608.25 × 483,608.25
  4. Step 4: Simplify right side
    311,712.75x = 233,876,939,468.06
  5. Step 5: Solve for x
    x = 233,876,939,468.06/311,712.75
  6. Step 6: Final answer
    x = 750,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.