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Finding the Third Proportional to 362,783.81 and 776,415.38

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Solution

The third proportional to 362,783.81 and 776,415.38 is: 1,661,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,783.81 : 776,415.38 = 776,415.38 : x
  2. Step 2: Convert to fraction form
    362,783.81/776,415.38 = 776,415.38/x
  3. Step 3: Cross multiply
    362,783.81x = 776,415.38 × 776,415.38
  4. Step 4: Simplify right side
    362,783.81x = 602,820,834,536.39
  5. Step 5: Solve for x
    x = 602,820,834,536.39/362,783.81
  6. Step 6: Final answer
    x = 1,661,653.07

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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.