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Finding the Third Proportional to 427,266 and 664,224

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Solution

The third proportional to 427,266 and 664,224 is: 1,032,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,266 : 664,224 = 664,224 : x
  2. Step 2: Convert to fraction form
    427,266/664,224 = 664,224/x
  3. Step 3: Cross multiply
    427,266x = 664,224 × 664,224
  4. Step 4: Simplify right side
    427,266x = 441,193,522,176
  5. Step 5: Solve for x
    x = 441,193,522,176/427,266
  6. Step 6: Final answer
    x = 1,032,596.84

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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.