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Finding the Third Proportional to 509,103.56 and 754,847.44

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Solution

The third proportional to 509,103.56 and 754,847.44 is: 1,119,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,103.56 : 754,847.44 = 754,847.44 : x
  2. Step 2: Convert to fraction form
    509,103.56/754,847.44 = 754,847.44/x
  3. Step 3: Cross multiply
    509,103.56x = 754,847.44 × 754,847.44
  4. Step 4: Simplify right side
    509,103.56x = 569,794,653,900.32
  5. Step 5: Solve for x
    x = 569,794,653,900.32/509,103.56
  6. Step 6: Final answer
    x = 1,119,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.