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Finding the Third Proportional to 208,796.06 and 465,402.38

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Solution

The third proportional to 208,796.06 and 465,402.38 is: 1,037,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,796.06 : 465,402.38 = 465,402.38 : x
  2. Step 2: Convert to fraction form
    208,796.06/465,402.38 = 465,402.38/x
  3. Step 3: Cross multiply
    208,796.06x = 465,402.38 × 465,402.38
  4. Step 4: Simplify right side
    208,796.06x = 216,599,370,655.64
  5. Step 5: Solve for x
    x = 216,599,370,655.64/208,796.06
  6. Step 6: Final answer
    x = 1,037,372.87

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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.