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Finding the Third Proportional to 497,784.50 and 1,170,099

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Solution

The third proportional to 497,784.50 and 1,170,099 is: 2,750,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,784.50 : 1,170,099 = 1,170,099 : x
  2. Step 2: Convert to fraction form
    497,784.50/1,170,099 = 1,170,099/x
  3. Step 3: Cross multiply
    497,784.50x = 1,170,099 × 1,170,099
  4. Step 4: Simplify right side
    497,784.50x = 1,369,131,669,801
  5. Step 5: Solve for x
    x = 1,369,131,669,801/497,784.50
  6. Step 6: Final answer
    x = 2,750,450.59

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.