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Finding the Third Proportional to 450,744 and 701,965.50

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Solution

The third proportional to 450,744 and 701,965.50 is: 1,093,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,744 : 701,965.50 = 701,965.50 : x
  2. Step 2: Convert to fraction form
    450,744/701,965.50 = 701,965.50/x
  3. Step 3: Cross multiply
    450,744x = 701,965.50 × 701,965.50
  4. Step 4: Simplify right side
    450,744x = 492,755,563,190.25
  5. Step 5: Solve for x
    x = 492,755,563,190.25/450,744
  6. Step 6: Final answer
    x = 1,093,204.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.