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Finding the Third Proportional to 241,932 and 484,836

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Solution

The third proportional to 241,932 and 484,836 is: 971,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,932 : 484,836 = 484,836 : x
  2. Step 2: Convert to fraction form
    241,932/484,836 = 484,836/x
  3. Step 3: Cross multiply
    241,932x = 484,836 × 484,836
  4. Step 4: Simplify right side
    241,932x = 235,065,946,896
  5. Step 5: Solve for x
    x = 235,065,946,896/241,932
  6. Step 6: Final answer
    x = 971,619.91

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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.