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Finding the Third Proportional to 384,297.75 and 825,457.50

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Solution

The third proportional to 384,297.75 and 825,457.50 is: 1,773,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,297.75 : 825,457.50 = 825,457.50 : x
  2. Step 2: Convert to fraction form
    384,297.75/825,457.50 = 825,457.50/x
  3. Step 3: Cross multiply
    384,297.75x = 825,457.50 × 825,457.50
  4. Step 4: Simplify right side
    384,297.75x = 681,380,084,306.25
  5. Step 5: Solve for x
    x = 681,380,084,306.25/384,297.75
  6. Step 6: Final answer
    x = 1,773,052.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.