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Finding the Third Proportional to 366,916 and 561,316.75

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Solution

The third proportional to 366,916 and 561,316.75 is: 858,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,916 : 561,316.75 = 561,316.75 : x
  2. Step 2: Convert to fraction form
    366,916/561,316.75 = 561,316.75/x
  3. Step 3: Cross multiply
    366,916x = 561,316.75 × 561,316.75
  4. Step 4: Simplify right side
    366,916x = 315,076,493,830.56
  5. Step 5: Solve for x
    x = 315,076,493,830.56/366,916
  6. Step 6: Final answer
    x = 858,715.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.