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Finding the Third Proportional to 323,925.75 and 668,597.63

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Solution

The third proportional to 323,925.75 and 668,597.63 is: 1,380,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,925.75 : 668,597.63 = 668,597.63 : x
  2. Step 2: Convert to fraction form
    323,925.75/668,597.63 = 668,597.63/x
  3. Step 3: Cross multiply
    323,925.75x = 668,597.63 × 668,597.63
  4. Step 4: Simplify right side
    323,925.75x = 447,022,784,155.64
  5. Step 5: Solve for x
    x = 447,022,784,155.64/323,925.75
  6. Step 6: Final answer
    x = 1,380,016.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.