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Finding the Third Proportional to 289,848 and 443,391

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Solution

The third proportional to 289,848 and 443,391 is: 678,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,848 : 443,391 = 443,391 : x
  2. Step 2: Convert to fraction form
    289,848/443,391 = 443,391/x
  3. Step 3: Cross multiply
    289,848x = 443,391 × 443,391
  4. Step 4: Simplify right side
    289,848x = 196,595,578,881
  5. Step 5: Solve for x
    x = 196,595,578,881/289,848
  6. Step 6: Final answer
    x = 678,271.30

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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.