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Finding the Third Proportional to 329,043 and 495,993

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Solution

The third proportional to 329,043 and 495,993 is: 747,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,043 : 495,993 = 495,993 : x
  2. Step 2: Convert to fraction form
    329,043/495,993 = 495,993/x
  3. Step 3: Cross multiply
    329,043x = 495,993 × 495,993
  4. Step 4: Simplify right side
    329,043x = 246,009,056,049
  5. Step 5: Solve for x
    x = 246,009,056,049/329,043
  6. Step 6: Final answer
    x = 747,650.17

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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.