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Finding the Third Proportional to 466,573.50 and 674,383.50

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Solution

The third proportional to 466,573.50 and 674,383.50 is: 974,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,573.50 : 674,383.50 = 674,383.50 : x
  2. Step 2: Convert to fraction form
    466,573.50/674,383.50 = 674,383.50/x
  3. Step 3: Cross multiply
    466,573.50x = 674,383.50 × 674,383.50
  4. Step 4: Simplify right side
    466,573.50x = 454,793,105,072.25
  5. Step 5: Solve for x
    x = 454,793,105,072.25/466,573.50
  6. Step 6: Final answer
    x = 974,751.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.