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Finding the Third Proportional to 415,644.50 and 893,450

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Solution

The third proportional to 415,644.50 and 893,450 is: 1,920,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,644.50 : 893,450 = 893,450 : x
  2. Step 2: Convert to fraction form
    415,644.50/893,450 = 893,450/x
  3. Step 3: Cross multiply
    415,644.50x = 893,450 × 893,450
  4. Step 4: Simplify right side
    415,644.50x = 798,252,902,500
  5. Step 5: Solve for x
    x = 798,252,902,500/415,644.50
  6. Step 6: Final answer
    x = 1,920,518.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.