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Finding the Third Proportional to 306,794 and 672,628

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Solution

The third proportional to 306,794 and 672,628 is: 1,474,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,794 : 672,628 = 672,628 : x
  2. Step 2: Convert to fraction form
    306,794/672,628 = 672,628/x
  3. Step 3: Cross multiply
    306,794x = 672,628 × 672,628
  4. Step 4: Simplify right side
    306,794x = 452,428,426,384
  5. Step 5: Solve for x
    x = 452,428,426,384/306,794
  6. Step 6: Final answer
    x = 1,474,697.77

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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.