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Finding the Third Proportional to 325,484 and 492,816

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Solution

The third proportional to 325,484 and 492,816 is: 746,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,484 : 492,816 = 492,816 : x
  2. Step 2: Convert to fraction form
    325,484/492,816 = 492,816/x
  3. Step 3: Cross multiply
    325,484x = 492,816 × 492,816
  4. Step 4: Simplify right side
    325,484x = 242,867,609,856
  5. Step 5: Solve for x
    x = 242,867,609,856/325,484
  6. Step 6: Final answer
    x = 746,173.73

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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.