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Finding the Third Proportional to 247,440 and 384,084

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Solution

The third proportional to 247,440 and 384,084 is: 596,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,440 : 384,084 = 384,084 : x
  2. Step 2: Convert to fraction form
    247,440/384,084 = 384,084/x
  3. Step 3: Cross multiply
    247,440x = 384,084 × 384,084
  4. Step 4: Simplify right side
    247,440x = 147,520,519,056
  5. Step 5: Solve for x
    x = 147,520,519,056/247,440
  6. Step 6: Final answer
    x = 596,187.03

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Why These Related Problems?

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