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Finding the Third Proportional to 297,609.19 and 449,096.91

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Solution

The third proportional to 297,609.19 and 449,096.91 is: 677,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,609.19 : 449,096.91 = 449,096.91 : x
  2. Step 2: Convert to fraction form
    297,609.19/449,096.91 = 449,096.91/x
  3. Step 3: Cross multiply
    297,609.19x = 449,096.91 × 449,096.91
  4. Step 4: Simplify right side
    297,609.19x = 201,688,031,203.32
  5. Step 5: Solve for x
    x = 201,688,031,203.32/297,609.19
  6. Step 6: Final answer
    x = 677,694.24

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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.