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Finding the Third Proportional to 205,775.44 and 433,967.63

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Solution

The third proportional to 205,775.44 and 433,967.63 is: 915,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,775.44 : 433,967.63 = 433,967.63 : x
  2. Step 2: Convert to fraction form
    205,775.44/433,967.63 = 433,967.63/x
  3. Step 3: Cross multiply
    205,775.44x = 433,967.63 × 433,967.63
  4. Step 4: Simplify right side
    205,775.44x = 188,327,899,548.14
  5. Step 5: Solve for x
    x = 188,327,899,548.14/205,775.44
  6. Step 6: Final answer
    x = 915,210.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.