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Finding the Third Proportional to 325,485 and 492,819

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Solution

The third proportional to 325,485 and 492,819 is: 746,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,485 : 492,819 = 492,819 : x
  2. Step 2: Convert to fraction form
    325,485/492,819 = 492,819/x
  3. Step 3: Cross multiply
    325,485x = 492,819 × 492,819
  4. Step 4: Simplify right side
    325,485x = 242,870,566,761
  5. Step 5: Solve for x
    x = 242,870,566,761/325,485
  6. Step 6: Final answer
    x = 746,180.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.