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Finding the Third Proportional to 331,126 and 692,232

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Solution

The third proportional to 331,126 and 692,232 is: 1,447,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,126 : 692,232 = 692,232 : x
  2. Step 2: Convert to fraction form
    331,126/692,232 = 692,232/x
  3. Step 3: Cross multiply
    331,126x = 692,232 × 692,232
  4. Step 4: Simplify right side
    331,126x = 479,185,141,824
  5. Step 5: Solve for x
    x = 479,185,141,824/331,126
  6. Step 6: Final answer
    x = 1,447,138.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.