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Finding the Third Proportional to 373,836 and 587,538

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Solution

The third proportional to 373,836 and 587,538 is: 923,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,836 : 587,538 = 587,538 : x
  2. Step 2: Convert to fraction form
    373,836/587,538 = 587,538/x
  3. Step 3: Cross multiply
    373,836x = 587,538 × 587,538
  4. Step 4: Simplify right side
    373,836x = 345,200,901,444
  5. Step 5: Solve for x
    x = 345,200,901,444/373,836
  6. Step 6: Final answer
    x = 923,401.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.