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Finding the Third Proportional to 305,328 and 651,233

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Solution

The third proportional to 305,328 and 651,233 is: 1,389,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,328 : 651,233 = 651,233 : x
  2. Step 2: Convert to fraction form
    305,328/651,233 = 651,233/x
  3. Step 3: Cross multiply
    305,328x = 651,233 × 651,233
  4. Step 4: Simplify right side
    305,328x = 424,104,420,289
  5. Step 5: Solve for x
    x = 424,104,420,289/305,328
  6. Step 6: Final answer
    x = 1,389,012.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.