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Finding the Third Proportional to 305,370 and 438,367.50

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Solution

The third proportional to 305,370 and 438,367.50 is: 629,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,370 : 438,367.50 = 438,367.50 : x
  2. Step 2: Convert to fraction form
    305,370/438,367.50 = 438,367.50/x
  3. Step 3: Cross multiply
    305,370x = 438,367.50 × 438,367.50
  4. Step 4: Simplify right side
    305,370x = 192,166,065,056.25
  5. Step 5: Solve for x
    x = 192,166,065,056.25/305,370
  6. Step 6: Final answer
    x = 629,289.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.