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Finding the Third Proportional to 206,754.50 and 438,602.63

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Solution

The third proportional to 206,754.50 and 438,602.63 is: 930,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,754.50 : 438,602.63 = 438,602.63 : x
  2. Step 2: Convert to fraction form
    206,754.50/438,602.63 = 438,602.63/x
  3. Step 3: Cross multiply
    206,754.50x = 438,602.63 × 438,602.63
  4. Step 4: Simplify right side
    206,754.50x = 192,372,262,656.89
  5. Step 5: Solve for x
    x = 192,372,262,656.89/206,754.50
  6. Step 6: Final answer
    x = 930,438.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.