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Finding the Third Proportional to 413,367.75 and 585,078.75

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Solution

The third proportional to 413,367.75 and 585,078.75 is: 828,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,367.75 : 585,078.75 = 585,078.75 : x
  2. Step 2: Convert to fraction form
    413,367.75/585,078.75 = 585,078.75/x
  3. Step 3: Cross multiply
    413,367.75x = 585,078.75 × 585,078.75
  4. Step 4: Simplify right side
    413,367.75x = 342,317,143,701.56
  5. Step 5: Solve for x
    x = 342,317,143,701.56/413,367.75
  6. Step 6: Final answer
    x = 828,117.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.