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Finding the Third Proportional to 295,626 and 670,174.50

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Solution

The third proportional to 295,626 and 670,174.50 is: 1,519,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,626 : 670,174.50 = 670,174.50 : x
  2. Step 2: Convert to fraction form
    295,626/670,174.50 = 670,174.50/x
  3. Step 3: Cross multiply
    295,626x = 670,174.50 × 670,174.50
  4. Step 4: Simplify right side
    295,626x = 449,133,860,450.25
  5. Step 5: Solve for x
    x = 449,133,860,450.25/295,626
  6. Step 6: Final answer
    x = 1,519,263.73

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.