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Finding the Third Proportional to 322,312.50 and 683,043.75

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Solution

The third proportional to 322,312.50 and 683,043.75 is: 1,447,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,312.50 : 683,043.75 = 683,043.75 : x
  2. Step 2: Convert to fraction form
    322,312.50/683,043.75 = 683,043.75/x
  3. Step 3: Cross multiply
    322,312.50x = 683,043.75 × 683,043.75
  4. Step 4: Simplify right side
    322,312.50x = 466,548,764,414.06
  5. Step 5: Solve for x
    x = 466,548,764,414.06/322,312.50
  6. Step 6: Final answer
    x = 1,447,504.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.