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Finding the Third Proportional to 368,416.50 and 553,991.25

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Solution

The third proportional to 368,416.50 and 553,991.25 is: 833,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,416.50 : 553,991.25 = 553,991.25 : x
  2. Step 2: Convert to fraction form
    368,416.50/553,991.25 = 553,991.25/x
  3. Step 3: Cross multiply
    368,416.50x = 553,991.25 × 553,991.25
  4. Step 4: Simplify right side
    368,416.50x = 306,906,305,076.56
  5. Step 5: Solve for x
    x = 306,906,305,076.56/368,416.50
  6. Step 6: Final answer
    x = 833,041.69

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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.