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Finding the Third Proportional to 230,258 and 484,375

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Solution

The third proportional to 230,258 and 484,375 is: 1,018,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,258 : 484,375 = 484,375 : x
  2. Step 2: Convert to fraction form
    230,258/484,375 = 484,375/x
  3. Step 3: Cross multiply
    230,258x = 484,375 × 484,375
  4. Step 4: Simplify right side
    230,258x = 234,619,140,625
  5. Step 5: Solve for x
    x = 234,619,140,625/230,258
  6. Step 6: Final answer
    x = 1,018,940.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.