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Finding the Third Proportional to 308,324 and 669,060

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Solution

The third proportional to 308,324 and 669,060 is: 1,451,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,324 : 669,060 = 669,060 : x
  2. Step 2: Convert to fraction form
    308,324/669,060 = 669,060/x
  3. Step 3: Cross multiply
    308,324x = 669,060 × 669,060
  4. Step 4: Simplify right side
    308,324x = 447,641,283,600
  5. Step 5: Solve for x
    x = 447,641,283,600/308,324
  6. Step 6: Final answer
    x = 1,451,853.52

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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.