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Finding the Third Proportional to 308,320 and 669,052

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Solution

The third proportional to 308,320 and 669,052 is: 1,451,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,320 : 669,052 = 669,052 : x
  2. Step 2: Convert to fraction form
    308,320/669,052 = 669,052/x
  3. Step 3: Cross multiply
    308,320x = 669,052 × 669,052
  4. Step 4: Simplify right side
    308,320x = 447,630,578,704
  5. Step 5: Solve for x
    x = 447,630,578,704/308,320
  6. Step 6: Final answer
    x = 1,451,837.63

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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.