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Finding the Third Proportional to 494,172 and 739,044

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Solution

The third proportional to 494,172 and 739,044 is: 1,105,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,172 : 739,044 = 739,044 : x
  2. Step 2: Convert to fraction form
    494,172/739,044 = 739,044/x
  3. Step 3: Cross multiply
    494,172x = 739,044 × 739,044
  4. Step 4: Simplify right side
    494,172x = 546,186,033,936
  5. Step 5: Solve for x
    x = 546,186,033,936/494,172
  6. Step 6: Final answer
    x = 1,105,254.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.