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Finding the Third Proportional to 342,292.50 and 763,289.25

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Solution

The third proportional to 342,292.50 and 763,289.25 is: 1,702,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,292.50 : 763,289.25 = 763,289.25 : x
  2. Step 2: Convert to fraction form
    342,292.50/763,289.25 = 763,289.25/x
  3. Step 3: Cross multiply
    342,292.50x = 763,289.25 × 763,289.25
  4. Step 4: Simplify right side
    342,292.50x = 582,610,479,165.56
  5. Step 5: Solve for x
    x = 582,610,479,165.56/342,292.50
  6. Step 6: Final answer
    x = 1,702,083.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.