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Finding the Third Proportional to 413,793.56 and 632,718.84

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Solution

The third proportional to 413,793.56 and 632,718.84 is: 967,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,793.56 : 632,718.84 = 632,718.84 : x
  2. Step 2: Convert to fraction form
    413,793.56/632,718.84 = 632,718.84/x
  3. Step 3: Cross multiply
    413,793.56x = 632,718.84 × 632,718.84
  4. Step 4: Simplify right side
    413,793.56x = 400,333,135,236.34
  5. Step 5: Solve for x
    x = 400,333,135,236.34/413,793.56
  6. Step 6: Final answer
    x = 967,470.67

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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.