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Finding the Third Proportional to 367,053 and 493,987

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Solution

The third proportional to 367,053 and 493,987 is: 664,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,053 : 493,987 = 493,987 : x
  2. Step 2: Convert to fraction form
    367,053/493,987 = 493,987/x
  3. Step 3: Cross multiply
    367,053x = 493,987 × 493,987
  4. Step 4: Simplify right side
    367,053x = 244,023,156,169
  5. Step 5: Solve for x
    x = 244,023,156,169/367,053
  6. Step 6: Final answer
    x = 664,817.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.