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Finding the Third Proportional to 423,524.25 and 621,162

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Solution

The third proportional to 423,524.25 and 621,162 is: 911,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,524.25 : 621,162 = 621,162 : x
  2. Step 2: Convert to fraction form
    423,524.25/621,162 = 621,162/x
  3. Step 3: Cross multiply
    423,524.25x = 621,162 × 621,162
  4. Step 4: Simplify right side
    423,524.25x = 385,842,230,244
  5. Step 5: Solve for x
    x = 385,842,230,244/423,524.25
  6. Step 6: Final answer
    x = 911,027.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.