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Finding the Third Proportional to 420,625.88 and 925,359.94

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Solution

The third proportional to 420,625.88 and 925,359.94 is: 2,035,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,625.88 : 925,359.94 = 925,359.94 : x
  2. Step 2: Convert to fraction form
    420,625.88/925,359.94 = 925,359.94/x
  3. Step 3: Cross multiply
    420,625.88x = 925,359.94 × 925,359.94
  4. Step 4: Simplify right side
    420,625.88x = 856,291,013,930.00
  5. Step 5: Solve for x
    x = 856,291,013,930.00/420,625.88
  6. Step 6: Final answer
    x = 2,035,754.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.