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Finding the Third Proportional to 381,487.50 and 589,770

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Solution

The third proportional to 381,487.50 and 589,770 is: 911,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,487.50 : 589,770 = 589,770 : x
  2. Step 2: Convert to fraction form
    381,487.50/589,770 = 589,770/x
  3. Step 3: Cross multiply
    381,487.50x = 589,770 × 589,770
  4. Step 4: Simplify right side
    381,487.50x = 347,828,652,900
  5. Step 5: Solve for x
    x = 347,828,652,900/381,487.50
  6. Step 6: Final answer
    x = 911,769.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.