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Finding the Third Proportional to 401,096.25 and 601,731

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Solution

The third proportional to 401,096.25 and 601,731 is: 902,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,096.25 : 601,731 = 601,731 : x
  2. Step 2: Convert to fraction form
    401,096.25/601,731 = 601,731/x
  3. Step 3: Cross multiply
    401,096.25x = 601,731 × 601,731
  4. Step 4: Simplify right side
    401,096.25x = 362,080,196,361
  5. Step 5: Solve for x
    x = 362,080,196,361/401,096.25
  6. Step 6: Final answer
    x = 902,726.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.