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Finding the Third Proportional to 270,261 and 423,954

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Solution

The third proportional to 270,261 and 423,954 is: 665,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,261 : 423,954 = 423,954 : x
  2. Step 2: Convert to fraction form
    270,261/423,954 = 423,954/x
  3. Step 3: Cross multiply
    270,261x = 423,954 × 423,954
  4. Step 4: Simplify right side
    270,261x = 179,736,994,116
  5. Step 5: Solve for x
    x = 179,736,994,116/270,261
  6. Step 6: Final answer
    x = 665,049.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.