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Finding the Third Proportional to 467,806.50 and 668,967.75

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Solution

The third proportional to 467,806.50 and 668,967.75 is: 956,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,806.50 : 668,967.75 = 668,967.75 : x
  2. Step 2: Convert to fraction form
    467,806.50/668,967.75 = 668,967.75/x
  3. Step 3: Cross multiply
    467,806.50x = 668,967.75 × 668,967.75
  4. Step 4: Simplify right side
    467,806.50x = 447,517,850,540.06
  5. Step 5: Solve for x
    x = 447,517,850,540.06/467,806.50
  6. Step 6: Final answer
    x = 956,630.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.