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Finding the Third Proportional to 241,938 and 484,848

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Solution

The third proportional to 241,938 and 484,848 is: 971,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,938 : 484,848 = 484,848 : x
  2. Step 2: Convert to fraction form
    241,938/484,848 = 484,848/x
  3. Step 3: Cross multiply
    241,938x = 484,848 × 484,848
  4. Step 4: Simplify right side
    241,938x = 235,077,583,104
  5. Step 5: Solve for x
    x = 235,077,583,104/241,938
  6. Step 6: Final answer
    x = 971,643.91

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.