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Finding the Third Proportional to 371,452.25 and 814,108

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Solution

The third proportional to 371,452.25 and 814,108 is: 1,784,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,452.25 : 814,108 = 814,108 : x
  2. Step 2: Convert to fraction form
    371,452.25/814,108 = 814,108/x
  3. Step 3: Cross multiply
    371,452.25x = 814,108 × 814,108
  4. Step 4: Simplify right side
    371,452.25x = 662,771,835,664
  5. Step 5: Solve for x
    x = 662,771,835,664/371,452.25
  6. Step 6: Final answer
    x = 1,784,271.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.