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Finding the Third Proportional to 286,716.38 and 623,274.75

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Solution

The third proportional to 286,716.38 and 623,274.75 is: 1,354,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,716.38 : 623,274.75 = 623,274.75 : x
  2. Step 2: Convert to fraction form
    286,716.38/623,274.75 = 623,274.75/x
  3. Step 3: Cross multiply
    286,716.38x = 623,274.75 × 623,274.75
  4. Step 4: Simplify right side
    286,716.38x = 388,471,413,987.56
  5. Step 5: Solve for x
    x = 388,471,413,987.56/286,716.38
  6. Step 6: Final answer
    x = 1,354,897.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.