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Finding the Third Proportional to 288,234.75 and 410,596.50

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Solution

The third proportional to 288,234.75 and 410,596.50 is: 584,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,234.75 : 410,596.50 = 410,596.50 : x
  2. Step 2: Convert to fraction form
    288,234.75/410,596.50 = 410,596.50/x
  3. Step 3: Cross multiply
    288,234.75x = 410,596.50 × 410,596.50
  4. Step 4: Simplify right side
    288,234.75x = 168,589,485,812.25
  5. Step 5: Solve for x
    x = 168,589,485,812.25/288,234.75
  6. Step 6: Final answer
    x = 584,903.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.