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Finding the Third Proportional to 306,796 and 672,632

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Solution

The third proportional to 306,796 and 672,632 is: 1,474,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,796 : 672,632 = 672,632 : x
  2. Step 2: Convert to fraction form
    306,796/672,632 = 672,632/x
  3. Step 3: Cross multiply
    306,796x = 672,632 × 672,632
  4. Step 4: Simplify right side
    306,796x = 452,433,807,424
  5. Step 5: Solve for x
    x = 452,433,807,424/306,796
  6. Step 6: Final answer
    x = 1,474,705.69

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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.