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Finding the Third Proportional to 187,585.88 and 410,747.63

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Solution

The third proportional to 187,585.88 and 410,747.63 is: 899,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,585.88 : 410,747.63 = 410,747.63 : x
  2. Step 2: Convert to fraction form
    187,585.88/410,747.63 = 410,747.63/x
  3. Step 3: Cross multiply
    187,585.88x = 410,747.63 × 410,747.63
  4. Step 4: Simplify right side
    187,585.88x = 168,713,611,443.14
  5. Step 5: Solve for x
    x = 168,713,611,443.14/187,585.88
  6. Step 6: Final answer
    x = 899,394.01

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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.