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Finding the Third Proportional to 615,227.63 and 963,163.13

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Solution

The third proportional to 615,227.63 and 963,163.13 is: 1,507,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,227.63 : 963,163.13 = 963,163.13 : x
  2. Step 2: Convert to fraction form
    615,227.63/963,163.13 = 963,163.13/x
  3. Step 3: Cross multiply
    615,227.63x = 963,163.13 × 963,163.13
  4. Step 4: Simplify right side
    615,227.63x = 927,683,205,359.77
  5. Step 5: Solve for x
    x = 927,683,205,359.77/615,227.63
  6. Step 6: Final answer
    x = 1,507,869.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.