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Finding the Third Proportional to 527,668 and 818,400

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Solution

The third proportional to 527,668 and 818,400 is: 1,269,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,668 : 818,400 = 818,400 : x
  2. Step 2: Convert to fraction form
    527,668/818,400 = 818,400/x
  3. Step 3: Cross multiply
    527,668x = 818,400 × 818,400
  4. Step 4: Simplify right side
    527,668x = 669,778,560,000
  5. Step 5: Solve for x
    x = 669,778,560,000/527,668
  6. Step 6: Final answer
    x = 1,269,318.13

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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.