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Finding the Third Proportional to 452,007 and 661,041

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Solution

The third proportional to 452,007 and 661,041 is: 966,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,007 : 661,041 = 661,041 : x
  2. Step 2: Convert to fraction form
    452,007/661,041 = 661,041/x
  3. Step 3: Cross multiply
    452,007x = 661,041 × 661,041
  4. Step 4: Simplify right side
    452,007x = 436,975,203,681
  5. Step 5: Solve for x
    x = 436,975,203,681/452,007
  6. Step 6: Final answer
    x = 966,744.33

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