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Finding the Third Proportional to 298,518 and 462,201

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Solution

The third proportional to 298,518 and 462,201 is: 715,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,518 : 462,201 = 462,201 : x
  2. Step 2: Convert to fraction form
    298,518/462,201 = 462,201/x
  3. Step 3: Cross multiply
    298,518x = 462,201 × 462,201
  4. Step 4: Simplify right side
    298,518x = 213,629,764,401
  5. Step 5: Solve for x
    x = 213,629,764,401/298,518
  6. Step 6: Final answer
    x = 715,634.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.