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Finding the Third Proportional to 325,584 and 509,211

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Solution

The third proportional to 325,584 and 509,211 is: 796,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,584 : 509,211 = 509,211 : x
  2. Step 2: Convert to fraction form
    325,584/509,211 = 509,211/x
  3. Step 3: Cross multiply
    325,584x = 509,211 × 509,211
  4. Step 4: Simplify right side
    325,584x = 259,295,842,521
  5. Step 5: Solve for x
    x = 259,295,842,521/325,584
  6. Step 6: Final answer
    x = 796,402.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.