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Finding the Third Proportional to 527,596 and 818,166

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Solution

The third proportional to 527,596 and 818,166 is: 1,268,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,596 : 818,166 = 818,166 : x
  2. Step 2: Convert to fraction form
    527,596/818,166 = 818,166/x
  3. Step 3: Cross multiply
    527,596x = 818,166 × 818,166
  4. Step 4: Simplify right side
    527,596x = 669,395,603,556
  5. Step 5: Solve for x
    x = 669,395,603,556/527,596
  6. Step 6: Final answer
    x = 1,268,765.50

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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.