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Finding the Third Proportional to 289,230.75 and 600,331.50

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Solution

The third proportional to 289,230.75 and 600,331.50 is: 1,246,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,230.75 : 600,331.50 = 600,331.50 : x
  2. Step 2: Convert to fraction form
    289,230.75/600,331.50 = 600,331.50/x
  3. Step 3: Cross multiply
    289,230.75x = 600,331.50 × 600,331.50
  4. Step 4: Simplify right side
    289,230.75x = 360,397,909,892.25
  5. Step 5: Solve for x
    x = 360,397,909,892.25/289,230.75
  6. Step 6: Final answer
    x = 1,246,056.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.