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Finding the Third Proportional to 267,030 and 356,697

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Solution

The third proportional to 267,030 and 356,697 is: 476,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,030 : 356,697 = 356,697 : x
  2. Step 2: Convert to fraction form
    267,030/356,697 = 356,697/x
  3. Step 3: Cross multiply
    267,030x = 356,697 × 356,697
  4. Step 4: Simplify right side
    267,030x = 127,232,749,809
  5. Step 5: Solve for x
    x = 127,232,749,809/267,030
  6. Step 6: Final answer
    x = 476,473.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.