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Finding the Third Proportional to 451,186.88 and 656,464.92

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Solution

The third proportional to 451,186.88 and 656,464.92 is: 955,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,186.88 : 656,464.92 = 656,464.92 : x
  2. Step 2: Convert to fraction form
    451,186.88/656,464.92 = 656,464.92/x
  3. Step 3: Cross multiply
    451,186.88x = 656,464.92 × 656,464.92
  4. Step 4: Simplify right side
    451,186.88x = 430,946,193,652.35
  5. Step 5: Solve for x
    x = 430,946,193,652.35/451,186.88
  6. Step 6: Final answer
    x = 955,139.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.