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Finding the Third Proportional to 298,522.50 and 452,103.75

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Solution

The third proportional to 298,522.50 and 452,103.75 is: 684,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,522.50 : 452,103.75 = 452,103.75 : x
  2. Step 2: Convert to fraction form
    298,522.50/452,103.75 = 452,103.75/x
  3. Step 3: Cross multiply
    298,522.50x = 452,103.75 × 452,103.75
  4. Step 4: Simplify right side
    298,522.50x = 204,397,800,764.06
  5. Step 5: Solve for x
    x = 204,397,800,764.06/298,522.50
  6. Step 6: Final answer
    x = 684,698.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.