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Finding the Third Proportional to 201,460 and 426,848

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Solution

The third proportional to 201,460 and 426,848 is: 904,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,460 : 426,848 = 426,848 : x
  2. Step 2: Convert to fraction form
    201,460/426,848 = 426,848/x
  3. Step 3: Cross multiply
    201,460x = 426,848 × 426,848
  4. Step 4: Simplify right side
    201,460x = 182,199,215,104
  5. Step 5: Solve for x
    x = 182,199,215,104/201,460
  6. Step 6: Final answer
    x = 904,394.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.