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Finding the Third Proportional to 395,250 and 591,788

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Solution

The third proportional to 395,250 and 591,788 is: 886,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,250 : 591,788 = 591,788 : x
  2. Step 2: Convert to fraction form
    395,250/591,788 = 591,788/x
  3. Step 3: Cross multiply
    395,250x = 591,788 × 591,788
  4. Step 4: Simplify right side
    395,250x = 350,213,036,944
  5. Step 5: Solve for x
    x = 350,213,036,944/395,250
  6. Step 6: Final answer
    x = 886,054.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.