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Finding the Third Proportional to 317,182.50 and 683,880.75

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Solution

The third proportional to 317,182.50 and 683,880.75 is: 1,474,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,182.50 : 683,880.75 = 683,880.75 : x
  2. Step 2: Convert to fraction form
    317,182.50/683,880.75 = 683,880.75/x
  3. Step 3: Cross multiply
    317,182.50x = 683,880.75 × 683,880.75
  4. Step 4: Simplify right side
    317,182.50x = 467,692,880,220.56
  5. Step 5: Solve for x
    x = 467,692,880,220.56/317,182.50
  6. Step 6: Final answer
    x = 1,474,522.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.