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Finding the Third Proportional to 275,848 and 401,784

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Solution

The third proportional to 275,848 and 401,784 is: 585,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,848 : 401,784 = 401,784 : x
  2. Step 2: Convert to fraction form
    275,848/401,784 = 401,784/x
  3. Step 3: Cross multiply
    275,848x = 401,784 × 401,784
  4. Step 4: Simplify right side
    275,848x = 161,430,382,656
  5. Step 5: Solve for x
    x = 161,430,382,656/275,848
  6. Step 6: Final answer
    x = 585,214.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.