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Finding the Third Proportional to 403,606.50 and 856,408.50

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Solution

The third proportional to 403,606.50 and 856,408.50 is: 1,817,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,606.50 : 856,408.50 = 856,408.50 : x
  2. Step 2: Convert to fraction form
    403,606.50/856,408.50 = 856,408.50/x
  3. Step 3: Cross multiply
    403,606.50x = 856,408.50 × 856,408.50
  4. Step 4: Simplify right side
    403,606.50x = 733,435,518,872.25
  5. Step 5: Solve for x
    x = 733,435,518,872.25/403,606.50
  6. Step 6: Final answer
    x = 1,817,204.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.