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Finding the Third Proportional to 370,291.50 and 496,388.25

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Solution

The third proportional to 370,291.50 and 496,388.25 is: 665,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,291.50 : 496,388.25 = 496,388.25 : x
  2. Step 2: Convert to fraction form
    370,291.50/496,388.25 = 496,388.25/x
  3. Step 3: Cross multiply
    370,291.50x = 496,388.25 × 496,388.25
  4. Step 4: Simplify right side
    370,291.50x = 246,401,294,738.06
  5. Step 5: Solve for x
    x = 246,401,294,738.06/370,291.50
  6. Step 6: Final answer
    x = 665,425.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.