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Finding the Third Proportional to 446,546 and 624,611

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Solution

The third proportional to 446,546 and 624,611 is: 873,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,546 : 624,611 = 624,611 : x
  2. Step 2: Convert to fraction form
    446,546/624,611 = 624,611/x
  3. Step 3: Cross multiply
    446,546x = 624,611 × 624,611
  4. Step 4: Simplify right side
    446,546x = 390,138,901,321
  5. Step 5: Solve for x
    x = 390,138,901,321/446,546
  6. Step 6: Final answer
    x = 873,681.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.