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Finding the Third Proportional to 306,648 and 670,296

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Solution

The third proportional to 306,648 and 670,296 is: 1,465,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,648 : 670,296 = 670,296 : x
  2. Step 2: Convert to fraction form
    306,648/670,296 = 670,296/x
  3. Step 3: Cross multiply
    306,648x = 670,296 × 670,296
  4. Step 4: Simplify right side
    306,648x = 449,296,727,616
  5. Step 5: Solve for x
    x = 449,296,727,616/306,648
  6. Step 6: Final answer
    x = 1,465,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.