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Finding the Third Proportional to 207,906 and 330,927

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Solution

The third proportional to 207,906 and 330,927 is: 526,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 330,927 = 330,927 : x
  2. Step 2: Convert to fraction form
    207,906/330,927 = 330,927/x
  3. Step 3: Cross multiply
    207,906x = 330,927 × 330,927
  4. Step 4: Simplify right side
    207,906x = 109,512,679,329
  5. Step 5: Solve for x
    x = 109,512,679,329/207,906
  6. Step 6: Final answer
    x = 526,741.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.