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Finding the Third Proportional to 290,545.88 and 629,348.63

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Solution

The third proportional to 290,545.88 and 629,348.63 is: 1,363,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,545.88 : 629,348.63 = 629,348.63 : x
  2. Step 2: Convert to fraction form
    290,545.88/629,348.63 = 629,348.63/x
  3. Step 3: Cross multiply
    290,545.88x = 629,348.63 × 629,348.63
  4. Step 4: Simplify right side
    290,545.88x = 396,079,691,789.39
  5. Step 5: Solve for x
    x = 396,079,691,789.39/290,545.88
  6. Step 6: Final answer
    x = 1,363,226.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.