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Finding the Third Proportional to 205,020 and 443,736

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Solution

The third proportional to 205,020 and 443,736 is: 960,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,020 : 443,736 = 443,736 : x
  2. Step 2: Convert to fraction form
    205,020/443,736 = 443,736/x
  3. Step 3: Cross multiply
    205,020x = 443,736 × 443,736
  4. Step 4: Simplify right side
    205,020x = 196,901,637,696
  5. Step 5: Solve for x
    x = 196,901,637,696/205,020
  6. Step 6: Final answer
    x = 960,402.10

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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.