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Finding the Third Proportional to 236,479 and 484,008

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Solution

The third proportional to 236,479 and 484,008 is: 990,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,479 : 484,008 = 484,008 : x
  2. Step 2: Convert to fraction form
    236,479/484,008 = 484,008/x
  3. Step 3: Cross multiply
    236,479x = 484,008 × 484,008
  4. Step 4: Simplify right side
    236,479x = 234,263,744,064
  5. Step 5: Solve for x
    x = 234,263,744,064/236,479
  6. Step 6: Final answer
    x = 990,632.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.