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Finding the Third Proportional to 499,398.75 and 1,100,596.50

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Solution

The third proportional to 499,398.75 and 1,100,596.50 is: 2,425,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,398.75 : 1,100,596.50 = 1,100,596.50 : x
  2. Step 2: Convert to fraction form
    499,398.75/1,100,596.50 = 1,100,596.50/x
  3. Step 3: Cross multiply
    499,398.75x = 1,100,596.50 × 1,100,596.50
  4. Step 4: Simplify right side
    499,398.75x = 1,211,312,655,812.25
  5. Step 5: Solve for x
    x = 1,211,312,655,812.25/499,398.75
  6. Step 6: Final answer
    x = 2,425,542.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.