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Finding the Third Proportional to 286,086.94 and 432,813.38

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Solution

The third proportional to 286,086.94 and 432,813.38 is: 654,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086.94 : 432,813.38 = 432,813.38 : x
  2. Step 2: Convert to fraction form
    286,086.94/432,813.38 = 432,813.38/x
  3. Step 3: Cross multiply
    286,086.94x = 432,813.38 × 432,813.38
  4. Step 4: Simplify right side
    286,086.94x = 187,327,417,578.89
  5. Step 5: Solve for x
    x = 187,327,417,578.89/286,086.94
  6. Step 6: Final answer
    x = 654,791.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.