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Finding the Third Proportional to 187,403.63 and 409,757.63

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Solution

The third proportional to 187,403.63 and 409,757.63 is: 895,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,403.63 : 409,757.63 = 409,757.63 : x
  2. Step 2: Convert to fraction form
    187,403.63/409,757.63 = 409,757.63/x
  3. Step 3: Cross multiply
    187,403.63x = 409,757.63 × 409,757.63
  4. Step 4: Simplify right side
    187,403.63x = 167,901,311,245.64
  5. Step 5: Solve for x
    x = 167,901,311,245.64/187,403.63
  6. Step 6: Final answer
    x = 895,934.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.