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Finding the Third Proportional to 329,346 and 673,029

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Solution

The third proportional to 329,346 and 673,029 is: 1,375,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,346 : 673,029 = 673,029 : x
  2. Step 2: Convert to fraction form
    329,346/673,029 = 673,029/x
  3. Step 3: Cross multiply
    329,346x = 673,029 × 673,029
  4. Step 4: Simplify right side
    329,346x = 452,968,034,841
  5. Step 5: Solve for x
    x = 452,968,034,841/329,346
  6. Step 6: Final answer
    x = 1,375,356.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.