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Finding the Third Proportional to 308,604 and 673,224

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Solution

The third proportional to 308,604 and 673,224 is: 1,468,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,604 : 673,224 = 673,224 : x
  2. Step 2: Convert to fraction form
    308,604/673,224 = 673,224/x
  3. Step 3: Cross multiply
    308,604x = 673,224 × 673,224
  4. Step 4: Simplify right side
    308,604x = 453,230,554,176
  5. Step 5: Solve for x
    x = 453,230,554,176/308,604
  6. Step 6: Final answer
    x = 1,468,647.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.