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Finding the Third Proportional to 329,026 and 682,946

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Solution

The third proportional to 329,026 and 682,946 is: 1,417,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,026 : 682,946 = 682,946 : x
  2. Step 2: Convert to fraction form
    329,026/682,946 = 682,946/x
  3. Step 3: Cross multiply
    329,026x = 682,946 × 682,946
  4. Step 4: Simplify right side
    329,026x = 466,415,238,916
  5. Step 5: Solve for x
    x = 466,415,238,916/329,026
  6. Step 6: Final answer
    x = 1,417,563.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.