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Finding the Third Proportional to 288,816 and 446,336

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Solution

The third proportional to 288,816 and 446,336 is: 689,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,816 : 446,336 = 446,336 : x
  2. Step 2: Convert to fraction form
    288,816/446,336 = 446,336/x
  3. Step 3: Cross multiply
    288,816x = 446,336 × 446,336
  4. Step 4: Simplify right side
    288,816x = 199,215,824,896
  5. Step 5: Solve for x
    x = 199,215,824,896/288,816
  6. Step 6: Final answer
    x = 689,767.27

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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.