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Finding the Third Proportional to 415,923 and 661,144.50

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Solution

The third proportional to 415,923 and 661,144.50 is: 1,050,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,923 : 661,144.50 = 661,144.50 : x
  2. Step 2: Convert to fraction form
    415,923/661,144.50 = 661,144.50/x
  3. Step 3: Cross multiply
    415,923x = 661,144.50 × 661,144.50
  4. Step 4: Simplify right side
    415,923x = 437,112,049,880.25
  5. Step 5: Solve for x
    x = 437,112,049,880.25/415,923
  6. Step 6: Final answer
    x = 1,050,944.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.