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Finding the Third Proportional to 297,894.94 and 441,055.69

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Solution

The third proportional to 297,894.94 and 441,055.69 is: 653,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,894.94 : 441,055.69 = 441,055.69 : x
  2. Step 2: Convert to fraction form
    297,894.94/441,055.69 = 441,055.69/x
  3. Step 3: Cross multiply
    297,894.94x = 441,055.69 × 441,055.69
  4. Step 4: Simplify right side
    297,894.94x = 194,530,119,476.10
  5. Step 5: Solve for x
    x = 194,530,119,476.10/297,894.94
  6. Step 6: Final answer
    x = 653,015.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.