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Finding the Third Proportional to 381,024 and 699,840

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Solution

The third proportional to 381,024 and 699,840 is: 1,285,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,024 : 699,840 = 699,840 : x
  2. Step 2: Convert to fraction form
    381,024/699,840 = 699,840/x
  3. Step 3: Cross multiply
    381,024x = 699,840 × 699,840
  4. Step 4: Simplify right side
    381,024x = 489,776,025,600
  5. Step 5: Solve for x
    x = 489,776,025,600/381,024
  6. Step 6: Final answer
    x = 1,285,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.