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Finding the Third Proportional to 215,372 and 473,530

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Solution

The third proportional to 215,372 and 473,530 is: 1,041,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,372 : 473,530 = 473,530 : x
  2. Step 2: Convert to fraction form
    215,372/473,530 = 473,530/x
  3. Step 3: Cross multiply
    215,372x = 473,530 × 473,530
  4. Step 4: Simplify right side
    215,372x = 224,230,660,900
  5. Step 5: Solve for x
    x = 224,230,660,900/215,372
  6. Step 6: Final answer
    x = 1,041,131.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.