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Finding the Third Proportional to 525,107.25 and 814,662

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Solution

The third proportional to 525,107.25 and 814,662 is: 1,263,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,107.25 : 814,662 = 814,662 : x
  2. Step 2: Convert to fraction form
    525,107.25/814,662 = 814,662/x
  3. Step 3: Cross multiply
    525,107.25x = 814,662 × 814,662
  4. Step 4: Simplify right side
    525,107.25x = 663,674,174,244
  5. Step 5: Solve for x
    x = 663,674,174,244/525,107.25
  6. Step 6: Final answer
    x = 1,263,883.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.