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Finding the Third Proportional to 209,597.63 and 454,640.63

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Solution

The third proportional to 209,597.63 and 454,640.63 is: 986,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597.63 : 454,640.63 = 454,640.63 : x
  2. Step 2: Convert to fraction form
    209,597.63/454,640.63 = 454,640.63/x
  3. Step 3: Cross multiply
    209,597.63x = 454,640.63 × 454,640.63
  4. Step 4: Simplify right side
    209,597.63x = 206,698,097,900.39
  5. Step 5: Solve for x
    x = 206,698,097,900.39/209,597.63
  6. Step 6: Final answer
    x = 986,166.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.