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Finding the Third Proportional to 326,004 and 518,706

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Solution

The third proportional to 326,004 and 518,706 is: 825,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,004 : 518,706 = 518,706 : x
  2. Step 2: Convert to fraction form
    326,004/518,706 = 518,706/x
  3. Step 3: Cross multiply
    326,004x = 518,706 × 518,706
  4. Step 4: Simplify right side
    326,004x = 269,055,914,436
  5. Step 5: Solve for x
    x = 269,055,914,436/326,004
  6. Step 6: Final answer
    x = 825,314.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.