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Finding the Third Proportional to 289,942 and 443,525

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Solution

The third proportional to 289,942 and 443,525 is: 678,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,942 : 443,525 = 443,525 : x
  2. Step 2: Convert to fraction form
    289,942/443,525 = 443,525/x
  3. Step 3: Cross multiply
    289,942x = 443,525 × 443,525
  4. Step 4: Simplify right side
    289,942x = 196,714,425,625
  5. Step 5: Solve for x
    x = 196,714,425,625/289,942
  6. Step 6: Final answer
    x = 678,461.30

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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.