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Finding the Third Proportional to 451,644 and 660,504

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Solution

The third proportional to 451,644 and 660,504 is: 965,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,644 : 660,504 = 660,504 : x
  2. Step 2: Convert to fraction form
    451,644/660,504 = 660,504/x
  3. Step 3: Cross multiply
    451,644x = 660,504 × 660,504
  4. Step 4: Simplify right side
    451,644x = 436,265,534,016
  5. Step 5: Solve for x
    x = 436,265,534,016/451,644
  6. Step 6: Final answer
    x = 965,950.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.