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Finding the Third Proportional to 205,034 and 443,764

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Solution

The third proportional to 205,034 and 443,764 is: 960,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034 : 443,764 = 443,764 : x
  2. Step 2: Convert to fraction form
    205,034/443,764 = 443,764/x
  3. Step 3: Cross multiply
    205,034x = 443,764 × 443,764
  4. Step 4: Simplify right side
    205,034x = 196,926,487,696
  5. Step 5: Solve for x
    x = 196,926,487,696/205,034
  6. Step 6: Final answer
    x = 960,457.72

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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.