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Finding the Third Proportional to 297,705.38 and 449,325.98

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Solution

The third proportional to 297,705.38 and 449,325.98 is: 678,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,705.38 : 449,325.98 = 449,325.98 : x
  2. Step 2: Convert to fraction form
    297,705.38/449,325.98 = 449,325.98/x
  3. Step 3: Cross multiply
    297,705.38x = 449,325.98 × 449,325.98
  4. Step 4: Simplify right side
    297,705.38x = 201,893,840,234.56
  5. Step 5: Solve for x
    x = 201,893,840,234.56/297,705.38
  6. Step 6: Final answer
    x = 678,166.59

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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.