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Finding the Third Proportional to 312,877.69 and 682,856.58

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Solution

The third proportional to 312,877.69 and 682,856.58 is: 1,490,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,877.69 : 682,856.58 = 682,856.58 : x
  2. Step 2: Convert to fraction form
    312,877.69/682,856.58 = 682,856.58/x
  3. Step 3: Cross multiply
    312,877.69x = 682,856.58 × 682,856.58
  4. Step 4: Simplify right side
    312,877.69x = 466,293,106,288.58
  5. Step 5: Solve for x
    x = 466,293,106,288.58/312,877.69
  6. Step 6: Final answer
    x = 1,490,336.72

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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.