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Finding the Third Proportional to 209,526 and 324,367

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Solution

The third proportional to 209,526 and 324,367 is: 502,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,526 : 324,367 = 324,367 : x
  2. Step 2: Convert to fraction form
    209,526/324,367 = 324,367/x
  3. Step 3: Cross multiply
    209,526x = 324,367 × 324,367
  4. Step 4: Simplify right side
    209,526x = 105,213,950,689
  5. Step 5: Solve for x
    x = 105,213,950,689/209,526
  6. Step 6: Final answer
    x = 502,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.