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Finding the Third Proportional to 333,545.06 and 731,367.56

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Solution

The third proportional to 333,545.06 and 731,367.56 is: 1,603,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,545.06 : 731,367.56 = 731,367.56 : x
  2. Step 2: Convert to fraction form
    333,545.06/731,367.56 = 731,367.56/x
  3. Step 3: Cross multiply
    333,545.06x = 731,367.56 × 731,367.56
  4. Step 4: Simplify right side
    333,545.06x = 534,898,511,477.19
  5. Step 5: Solve for x
    x = 534,898,511,477.19/333,545.06
  6. Step 6: Final answer
    x = 1,603,676.90

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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.