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Finding the Third Proportional to 326,504 and 366,986

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Solution

The third proportional to 326,504 and 366,986 is: 412,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,504 : 366,986 = 366,986 : x
  2. Step 2: Convert to fraction form
    326,504/366,986 = 366,986/x
  3. Step 3: Cross multiply
    326,504x = 366,986 × 366,986
  4. Step 4: Simplify right side
    326,504x = 134,678,724,196
  5. Step 5: Solve for x
    x = 134,678,724,196/326,504
  6. Step 6: Final answer
    x = 412,487.21

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.