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Finding the Third Proportional to 297,021.94 and 445,540.50

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Solution

The third proportional to 297,021.94 and 445,540.50 is: 668,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021.94 : 445,540.50 = 445,540.50 : x
  2. Step 2: Convert to fraction form
    297,021.94/445,540.50 = 445,540.50/x
  3. Step 3: Cross multiply
    297,021.94x = 445,540.50 × 445,540.50
  4. Step 4: Simplify right side
    297,021.94x = 198,506,337,140.25
  5. Step 5: Solve for x
    x = 198,506,337,140.25/297,021.94
  6. Step 6: Final answer
    x = 668,322.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.