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Finding the Third Proportional to 378,590.20 and 828,462.94

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Solution

The third proportional to 378,590.20 and 828,462.94 is: 1,812,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,590.20 : 828,462.94 = 828,462.94 : x
  2. Step 2: Convert to fraction form
    378,590.20/828,462.94 = 828,462.94/x
  3. Step 3: Cross multiply
    378,590.20x = 828,462.94 × 828,462.94
  4. Step 4: Simplify right side
    378,590.20x = 686,350,838,811.13
  5. Step 5: Solve for x
    x = 686,350,838,811.13/378,590.20
  6. Step 6: Final answer
    x = 1,812,912.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.