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Finding the Third Proportional to 494,668 and 739,090.50

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Solution

The third proportional to 494,668 and 739,090.50 is: 1,104,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,668 : 739,090.50 = 739,090.50 : x
  2. Step 2: Convert to fraction form
    494,668/739,090.50 = 739,090.50/x
  3. Step 3: Cross multiply
    494,668x = 739,090.50 × 739,090.50
  4. Step 4: Simplify right side
    494,668x = 546,254,767,190.25
  5. Step 5: Solve for x
    x = 546,254,767,190.25/494,668
  6. Step 6: Final answer
    x = 1,104,285.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.