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Finding the Third Proportional to 403,408.50 and 869,058

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Solution

The third proportional to 403,408.50 and 869,058 is: 1,872,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,408.50 : 869,058 = 869,058 : x
  2. Step 2: Convert to fraction form
    403,408.50/869,058 = 869,058/x
  3. Step 3: Cross multiply
    403,408.50x = 869,058 × 869,058
  4. Step 4: Simplify right side
    403,408.50x = 755,261,807,364
  5. Step 5: Solve for x
    x = 755,261,807,364/403,408.50
  6. Step 6: Final answer
    x = 1,872,201.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.