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Finding the Third Proportional to 208,761 and 465,333

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Solution

The third proportional to 208,761 and 465,333 is: 1,037,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761 : 465,333 = 465,333 : x
  2. Step 2: Convert to fraction form
    208,761/465,333 = 465,333/x
  3. Step 3: Cross multiply
    208,761x = 465,333 × 465,333
  4. Step 4: Simplify right side
    208,761x = 216,534,800,889
  5. Step 5: Solve for x
    x = 216,534,800,889/208,761
  6. Step 6: Final answer
    x = 1,037,237.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.