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Finding the Third Proportional to 360,141.19 and 771,628.78

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Solution

The third proportional to 360,141.19 and 771,628.78 is: 1,653,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,141.19 : 771,628.78 = 771,628.78 : x
  2. Step 2: Convert to fraction form
    360,141.19/771,628.78 = 771,628.78/x
  3. Step 3: Cross multiply
    360,141.19x = 771,628.78 × 771,628.78
  4. Step 4: Simplify right side
    360,141.19x = 595,410,976,053.36
  5. Step 5: Solve for x
    x = 595,410,976,053.36/360,141.19
  6. Step 6: Final answer
    x = 1,653,270.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.