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Finding the Third Proportional to 292,285.13 and 628,082.44

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Solution

The third proportional to 292,285.13 and 628,082.44 is: 1,349,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285.13 : 628,082.44 = 628,082.44 : x
  2. Step 2: Convert to fraction form
    292,285.13/628,082.44 = 628,082.44/x
  3. Step 3: Cross multiply
    292,285.13x = 628,082.44 × 628,082.44
  4. Step 4: Simplify right side
    292,285.13x = 394,487,548,295.94
  5. Step 5: Solve for x
    x = 394,487,548,295.94/292,285.13
  6. Step 6: Final answer
    x = 1,349,666.86

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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.