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Finding the Third Proportional to 294,688.76 and 450,489.73

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Solution

The third proportional to 294,688.76 and 450,489.73 is: 688,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,688.76 : 450,489.73 = 450,489.73 : x
  2. Step 2: Convert to fraction form
    294,688.76/450,489.73 = 450,489.73/x
  3. Step 3: Cross multiply
    294,688.76x = 450,489.73 × 450,489.73
  4. Step 4: Simplify right side
    294,688.76x = 202,940,993,738.36
  5. Step 5: Solve for x
    x = 202,940,993,738.36/294,688.76
  6. Step 6: Final answer
    x = 688,662.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.