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Finding the Third Proportional to 470,268 and 672,219

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Solution

The third proportional to 470,268 and 672,219 is: 960,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,268 : 672,219 = 672,219 : x
  2. Step 2: Convert to fraction form
    470,268/672,219 = 672,219/x
  3. Step 3: Cross multiply
    470,268x = 672,219 × 672,219
  4. Step 4: Simplify right side
    470,268x = 451,878,383,961
  5. Step 5: Solve for x
    x = 451,878,383,961/470,268
  6. Step 6: Final answer
    x = 960,895.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.