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Finding the Third Proportional to 341,682 and 509,751

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Solution

The third proportional to 341,682 and 509,751 is: 760,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,682 : 509,751 = 509,751 : x
  2. Step 2: Convert to fraction form
    341,682/509,751 = 509,751/x
  3. Step 3: Cross multiply
    341,682x = 509,751 × 509,751
  4. Step 4: Simplify right side
    341,682x = 259,846,082,001
  5. Step 5: Solve for x
    x = 259,846,082,001/341,682
  6. Step 6: Final answer
    x = 760,490.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.