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Finding the Third Proportional to 286,572.94 and 622,900.13

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Solution

The third proportional to 286,572.94 and 622,900.13 is: 1,353,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,572.94 : 622,900.13 = 622,900.13 : x
  2. Step 2: Convert to fraction form
    286,572.94/622,900.13 = 622,900.13/x
  3. Step 3: Cross multiply
    286,572.94x = 622,900.13 × 622,900.13
  4. Step 4: Simplify right side
    286,572.94x = 388,004,565,725.02
  5. Step 5: Solve for x
    x = 388,004,565,725.02/286,572.94
  6. Step 6: Final answer
    x = 1,353,946.99

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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.