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Finding the Third Proportional to 451,736 and 660,648

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Solution

The third proportional to 451,736 and 660,648 is: 966,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,736 : 660,648 = 660,648 : x
  2. Step 2: Convert to fraction form
    451,736/660,648 = 660,648/x
  3. Step 3: Cross multiply
    451,736x = 660,648 × 660,648
  4. Step 4: Simplify right side
    451,736x = 436,455,779,904
  5. Step 5: Solve for x
    x = 436,455,779,904/451,736
  6. Step 6: Final answer
    x = 966,174.45

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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.