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Finding the Third Proportional to 294,240.09 and 449,800.59

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Solution

The third proportional to 294,240.09 and 449,800.59 is: 687,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,240.09 : 449,800.59 = 449,800.59 : x
  2. Step 2: Convert to fraction form
    294,240.09/449,800.59 = 449,800.59/x
  3. Step 3: Cross multiply
    294,240.09x = 449,800.59 × 449,800.59
  4. Step 4: Simplify right side
    294,240.09x = 202,320,574,137.85
  5. Step 5: Solve for x
    x = 202,320,574,137.85/294,240.09
  6. Step 6: Final answer
    x = 687,603.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.