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Finding the Third Proportional to 239,923.69 and 360,483.75

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Solution

The third proportional to 239,923.69 and 360,483.75 is: 541,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,923.69 : 360,483.75 = 360,483.75 : x
  2. Step 2: Convert to fraction form
    239,923.69/360,483.75 = 360,483.75/x
  3. Step 3: Cross multiply
    239,923.69x = 360,483.75 × 360,483.75
  4. Step 4: Simplify right side
    239,923.69x = 129,948,534,014.06
  5. Step 5: Solve for x
    x = 129,948,534,014.06/239,923.69
  6. Step 6: Final answer
    x = 541,624.44

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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.