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Finding the Third Proportional to 368,388.50 and 570,564.75

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Solution

The third proportional to 368,388.50 and 570,564.75 is: 883,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,388.50 : 570,564.75 = 570,564.75 : x
  2. Step 2: Convert to fraction form
    368,388.50/570,564.75 = 570,564.75/x
  3. Step 3: Cross multiply
    368,388.50x = 570,564.75 × 570,564.75
  4. Step 4: Simplify right side
    368,388.50x = 325,544,133,942.56
  5. Step 5: Solve for x
    x = 325,544,133,942.56/368,388.50
  6. Step 6: Final answer
    x = 883,697.87

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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.