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Finding the Third Proportional to 262,637.44 and 380,014.03

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Solution

The third proportional to 262,637.44 and 380,014.03 is: 549,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,637.44 : 380,014.03 = 380,014.03 : x
  2. Step 2: Convert to fraction form
    262,637.44/380,014.03 = 380,014.03/x
  3. Step 3: Cross multiply
    262,637.44x = 380,014.03 × 380,014.03
  4. Step 4: Simplify right side
    262,637.44x = 144,410,663,946.88
  5. Step 5: Solve for x
    x = 144,410,663,946.88/262,637.44
  6. Step 6: Final answer
    x = 549,847.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.