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Finding the Third Proportional to 319,592 and 694,964

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Solution

The third proportional to 319,592 and 694,964 is: 1,511,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,592 : 694,964 = 694,964 : x
  2. Step 2: Convert to fraction form
    319,592/694,964 = 694,964/x
  3. Step 3: Cross multiply
    319,592x = 694,964 × 694,964
  4. Step 4: Simplify right side
    319,592x = 482,974,961,296
  5. Step 5: Solve for x
    x = 482,974,961,296/319,592
  6. Step 6: Final answer
    x = 1,511,223.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.