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Finding the Third Proportional to 312,403.50 and 682,587

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Solution

The third proportional to 312,403.50 and 682,587 is: 1,491,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,403.50 : 682,587 = 682,587 : x
  2. Step 2: Convert to fraction form
    312,403.50/682,587 = 682,587/x
  3. Step 3: Cross multiply
    312,403.50x = 682,587 × 682,587
  4. Step 4: Simplify right side
    312,403.50x = 465,925,012,569
  5. Step 5: Solve for x
    x = 465,925,012,569/312,403.50
  6. Step 6: Final answer
    x = 1,491,420.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.