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Finding the Third Proportional to 289,628 and 443,061

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Solution

The third proportional to 289,628 and 443,061 is: 677,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,628 : 443,061 = 443,061 : x
  2. Step 2: Convert to fraction form
    289,628/443,061 = 443,061/x
  3. Step 3: Cross multiply
    289,628x = 443,061 × 443,061
  4. Step 4: Simplify right side
    289,628x = 196,303,049,721
  5. Step 5: Solve for x
    x = 196,303,049,721/289,628
  6. Step 6: Final answer
    x = 677,776.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.