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Finding the Third Proportional to 215,734.88 and 469,346.44

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Solution

The third proportional to 215,734.88 and 469,346.44 is: 1,021,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,734.88 : 469,346.44 = 469,346.44 : x
  2. Step 2: Convert to fraction form
    215,734.88/469,346.44 = 469,346.44/x
  3. Step 3: Cross multiply
    215,734.88x = 469,346.44 × 469,346.44
  4. Step 4: Simplify right side
    215,734.88x = 220,286,078,393.94
  5. Step 5: Solve for x
    x = 220,286,078,393.94/215,734.88
  6. Step 6: Final answer
    x = 1,021,096.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.