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Finding the Third Proportional to 288,950.25 and 383,404.50

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Solution

The third proportional to 288,950.25 and 383,404.50 is: 508,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,950.25 : 383,404.50 = 383,404.50 : x
  2. Step 2: Convert to fraction form
    288,950.25/383,404.50 = 383,404.50/x
  3. Step 3: Cross multiply
    288,950.25x = 383,404.50 × 383,404.50
  4. Step 4: Simplify right side
    288,950.25x = 146,999,010,620.25
  5. Step 5: Solve for x
    x = 146,999,010,620.25/288,950.25
  6. Step 6: Final answer
    x = 508,734.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.