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Finding the Third Proportional to 329,768 and 465,852

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Solution

The third proportional to 329,768 and 465,852 is: 658,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,768 : 465,852 = 465,852 : x
  2. Step 2: Convert to fraction form
    329,768/465,852 = 465,852/x
  3. Step 3: Cross multiply
    329,768x = 465,852 × 465,852
  4. Step 4: Simplify right side
    329,768x = 217,018,085,904
  5. Step 5: Solve for x
    x = 217,018,085,904/329,768
  6. Step 6: Final answer
    x = 658,093.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.