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Finding the Third Proportional to 208,638 and 446,798

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Solution

The third proportional to 208,638 and 446,798 is: 956,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638 : 446,798 = 446,798 : x
  2. Step 2: Convert to fraction form
    208,638/446,798 = 446,798/x
  3. Step 3: Cross multiply
    208,638x = 446,798 × 446,798
  4. Step 4: Simplify right side
    208,638x = 199,628,452,804
  5. Step 5: Solve for x
    x = 199,628,452,804/208,638
  6. Step 6: Final answer
    x = 956,817.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.