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Finding the Third Proportional to 682,735.50 and 983,457

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Solution

The third proportional to 682,735.50 and 983,457 is: 1,416,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,735.50 : 983,457 = 983,457 : x
  2. Step 2: Convert to fraction form
    682,735.50/983,457 = 983,457/x
  3. Step 3: Cross multiply
    682,735.50x = 983,457 × 983,457
  4. Step 4: Simplify right side
    682,735.50x = 967,187,670,849
  5. Step 5: Solve for x
    x = 967,187,670,849/682,735.50
  6. Step 6: Final answer
    x = 1,416,635.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.