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Finding the Third Proportional to 514,723.50 and 1,129,077

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Solution

The third proportional to 514,723.50 and 1,129,077 is: 2,476,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,723.50 : 1,129,077 = 1,129,077 : x
  2. Step 2: Convert to fraction form
    514,723.50/1,129,077 = 1,129,077/x
  3. Step 3: Cross multiply
    514,723.50x = 1,129,077 × 1,129,077
  4. Step 4: Simplify right side
    514,723.50x = 1,274,814,871,929
  5. Step 5: Solve for x
    x = 1,274,814,871,929/514,723.50
  6. Step 6: Final answer
    x = 2,476,698.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.