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Finding the Third Proportional to 354,199.50 and 764,371.13

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Solution

The third proportional to 354,199.50 and 764,371.13 is: 1,649,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,199.50 : 764,371.13 = 764,371.13 : x
  2. Step 2: Convert to fraction form
    354,199.50/764,371.13 = 764,371.13/x
  3. Step 3: Cross multiply
    354,199.50x = 764,371.13 × 764,371.13
  4. Step 4: Simplify right side
    354,199.50x = 584,263,216,733.77
  5. Step 5: Solve for x
    x = 584,263,216,733.77/354,199.50
  6. Step 6: Final answer
    x = 1,649,531.46

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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.