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Finding the Third Proportional to 441,144 and 934,288

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Solution

The third proportional to 441,144 and 934,288 is: 1,978,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,144 : 934,288 = 934,288 : x
  2. Step 2: Convert to fraction form
    441,144/934,288 = 934,288/x
  3. Step 3: Cross multiply
    441,144x = 934,288 × 934,288
  4. Step 4: Simplify right side
    441,144x = 872,894,066,944
  5. Step 5: Solve for x
    x = 872,894,066,944/441,144
  6. Step 6: Final answer
    x = 1,978,705.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.