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Finding the Third Proportional to 203,712 and 446,752

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Solution

The third proportional to 203,712 and 446,752 is: 979,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,712 : 446,752 = 446,752 : x
  2. Step 2: Convert to fraction form
    203,712/446,752 = 446,752/x
  3. Step 3: Cross multiply
    203,712x = 446,752 × 446,752
  4. Step 4: Simplify right side
    203,712x = 199,587,349,504
  5. Step 5: Solve for x
    x = 199,587,349,504/203,712
  6. Step 6: Final answer
    x = 979,752.54

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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.