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Finding the Third Proportional to 437,992 and 484,072

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Solution

The third proportional to 437,992 and 484,072 is: 534,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,992 : 484,072 = 484,072 : x
  2. Step 2: Convert to fraction form
    437,992/484,072 = 484,072/x
  3. Step 3: Cross multiply
    437,992x = 484,072 × 484,072
  4. Step 4: Simplify right side
    437,992x = 234,325,701,184
  5. Step 5: Solve for x
    x = 234,325,701,184/437,992
  6. Step 6: Final answer
    x = 534,999.96

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.