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Finding the Third Proportional to 315,193 and 484,450.50

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Solution

The third proportional to 315,193 and 484,450.50 is: 744,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193 : 484,450.50 = 484,450.50 : x
  2. Step 2: Convert to fraction form
    315,193/484,450.50 = 484,450.50/x
  3. Step 3: Cross multiply
    315,193x = 484,450.50 × 484,450.50
  4. Step 4: Simplify right side
    315,193x = 234,692,286,950.25
  5. Step 5: Solve for x
    x = 234,692,286,950.25/315,193
  6. Step 6: Final answer
    x = 744,598.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.