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Finding the Third Proportional to 332,082 and 712,541.25

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Solution

The third proportional to 332,082 and 712,541.25 is: 1,528,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,082 : 712,541.25 = 712,541.25 : x
  2. Step 2: Convert to fraction form
    332,082/712,541.25 = 712,541.25/x
  3. Step 3: Cross multiply
    332,082x = 712,541.25 × 712,541.25
  4. Step 4: Simplify right side
    332,082x = 507,715,032,951.56
  5. Step 5: Solve for x
    x = 507,715,032,951.56/332,082
  6. Step 6: Final answer
    x = 1,528,884.53

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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.