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Finding the Third Proportional to 325,490 and 492,825

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Solution

The third proportional to 325,490 and 492,825 is: 746,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,490 : 492,825 = 492,825 : x
  2. Step 2: Convert to fraction form
    325,490/492,825 = 492,825/x
  3. Step 3: Cross multiply
    325,490x = 492,825 × 492,825
  4. Step 4: Simplify right side
    325,490x = 242,876,480,625
  5. Step 5: Solve for x
    x = 242,876,480,625/325,490
  6. Step 6: Final answer
    x = 746,187.23

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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.