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Finding the Third Proportional to 205,026 and 443,748

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Solution

The third proportional to 205,026 and 443,748 is: 960,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,026 : 443,748 = 443,748 : x
  2. Step 2: Convert to fraction form
    205,026/443,748 = 443,748/x
  3. Step 3: Cross multiply
    205,026x = 443,748 × 443,748
  4. Step 4: Simplify right side
    205,026x = 196,912,287,504
  5. Step 5: Solve for x
    x = 196,912,287,504/205,026
  6. Step 6: Final answer
    x = 960,425.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.