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Finding the Third Proportional to 209,766 and 314,589

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Solution

The third proportional to 209,766 and 314,589 is: 471,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,766 : 314,589 = 314,589 : x
  2. Step 2: Convert to fraction form
    209,766/314,589 = 314,589/x
  3. Step 3: Cross multiply
    209,766x = 314,589 × 314,589
  4. Step 4: Simplify right side
    209,766x = 98,966,238,921
  5. Step 5: Solve for x
    x = 98,966,238,921/209,766
  6. Step 6: Final answer
    x = 471,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.