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Finding the Third Proportional to 600,847.50 and 927,765

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Solution

The third proportional to 600,847.50 and 927,765 is: 1,432,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,847.50 : 927,765 = 927,765 : x
  2. Step 2: Convert to fraction form
    600,847.50/927,765 = 927,765/x
  3. Step 3: Cross multiply
    600,847.50x = 927,765 × 927,765
  4. Step 4: Simplify right side
    600,847.50x = 860,747,895,225
  5. Step 5: Solve for x
    x = 860,747,895,225/600,847.50
  6. Step 6: Final answer
    x = 1,432,556.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.