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Finding the Third Proportional to 209,307.75 and 454,063.50

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Solution

The third proportional to 209,307.75 and 454,063.50 is: 985,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,307.75 : 454,063.50 = 454,063.50 : x
  2. Step 2: Convert to fraction form
    209,307.75/454,063.50 = 454,063.50/x
  3. Step 3: Cross multiply
    209,307.75x = 454,063.50 × 454,063.50
  4. Step 4: Simplify right side
    209,307.75x = 206,173,662,032.25
  5. Step 5: Solve for x
    x = 206,173,662,032.25/209,307.75
  6. Step 6: Final answer
    x = 985,026.41

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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.