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Finding the Third Proportional to 413,540.44 and 632,475.84

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Solution

The third proportional to 413,540.44 and 632,475.84 is: 967,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,540.44 : 632,475.84 = 632,475.84 : x
  2. Step 2: Convert to fraction form
    413,540.44/632,475.84 = 632,475.84/x
  3. Step 3: Cross multiply
    413,540.44x = 632,475.84 × 632,475.84
  4. Step 4: Simplify right side
    413,540.44x = 400,025,692,927.27
  5. Step 5: Solve for x
    x = 400,025,692,927.27/413,540.44
  6. Step 6: Final answer
    x = 967,319.41

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Why These Related Problems?

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