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Finding the Third Proportional to 432,580.50 and 645,286.50

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Solution

The third proportional to 432,580.50 and 645,286.50 is: 962,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,580.50 : 645,286.50 = 645,286.50 : x
  2. Step 2: Convert to fraction form
    432,580.50/645,286.50 = 645,286.50/x
  3. Step 3: Cross multiply
    432,580.50x = 645,286.50 × 645,286.50
  4. Step 4: Simplify right side
    432,580.50x = 416,394,667,082.25
  5. Step 5: Solve for x
    x = 416,394,667,082.25/432,580.50
  6. Step 6: Final answer
    x = 962,583.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.