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Finding the Third Proportional to 187,304.63 and 409,578.75

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Solution

The third proportional to 187,304.63 and 409,578.75 is: 895,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,304.63 : 409,578.75 = 409,578.75 : x
  2. Step 2: Convert to fraction form
    187,304.63/409,578.75 = 409,578.75/x
  3. Step 3: Cross multiply
    187,304.63x = 409,578.75 × 409,578.75
  4. Step 4: Simplify right side
    187,304.63x = 167,754,752,451.56
  5. Step 5: Solve for x
    x = 167,754,752,451.56/187,304.63
  6. Step 6: Final answer
    x = 895,625.25

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Why These Related Problems?

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