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Finding the Third Proportional to 342,815.20 and 738,311.63

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Solution

The third proportional to 342,815.20 and 738,311.63 is: 1,590,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,815.20 : 738,311.63 = 738,311.63 : x
  2. Step 2: Convert to fraction form
    342,815.20/738,311.63 = 738,311.63/x
  3. Step 3: Cross multiply
    342,815.20x = 738,311.63 × 738,311.63
  4. Step 4: Simplify right side
    342,815.20x = 545,104,055,610.14
  5. Step 5: Solve for x
    x = 545,104,055,610.14/342,815.20
  6. Step 6: Final answer
    x = 1,590,081.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.