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Finding the Third Proportional to 425,364.75 and 658,617.75

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Solution

The third proportional to 425,364.75 and 658,617.75 is: 1,019,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,364.75 : 658,617.75 = 658,617.75 : x
  2. Step 2: Convert to fraction form
    425,364.75/658,617.75 = 658,617.75/x
  3. Step 3: Cross multiply
    425,364.75x = 658,617.75 × 658,617.75
  4. Step 4: Simplify right side
    425,364.75x = 433,777,340,615.06
  5. Step 5: Solve for x
    x = 433,777,340,615.06/425,364.75
  6. Step 6: Final answer
    x = 1,019,777.36

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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.