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Finding the Third Proportional to 370,401 and 541,450.50

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Solution

The third proportional to 370,401 and 541,450.50 is: 791,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,401 : 541,450.50 = 541,450.50 : x
  2. Step 2: Convert to fraction form
    370,401/541,450.50 = 541,450.50/x
  3. Step 3: Cross multiply
    370,401x = 541,450.50 × 541,450.50
  4. Step 4: Simplify right side
    370,401x = 293,168,643,950.25
  5. Step 5: Solve for x
    x = 293,168,643,950.25/370,401
  6. Step 6: Final answer
    x = 791,489.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.