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Finding the Third Proportional to 305,674 and 673,556

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Solution

The third proportional to 305,674 and 673,556 is: 1,484,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,674 : 673,556 = 673,556 : x
  2. Step 2: Convert to fraction form
    305,674/673,556 = 673,556/x
  3. Step 3: Cross multiply
    305,674x = 673,556 × 673,556
  4. Step 4: Simplify right side
    305,674x = 453,677,685,136
  5. Step 5: Solve for x
    x = 453,677,685,136/305,674
  6. Step 6: Final answer
    x = 1,484,188.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.