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Finding the Third Proportional to 446,323 and 624,268.50

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Solution

The third proportional to 446,323 and 624,268.50 is: 873,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,323 : 624,268.50 = 624,268.50 : x
  2. Step 2: Convert to fraction form
    446,323/624,268.50 = 624,268.50/x
  3. Step 3: Cross multiply
    446,323x = 624,268.50 × 624,268.50
  4. Step 4: Simplify right side
    446,323x = 389,711,160,092.25
  5. Step 5: Solve for x
    x = 389,711,160,092.25/446,323
  6. Step 6: Final answer
    x = 873,159.48

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