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Finding the Third Proportional to 505,302.50 and 743,166.50

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Solution

The third proportional to 505,302.50 and 743,166.50 is: 1,093,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,302.50 : 743,166.50 = 743,166.50 : x
  2. Step 2: Convert to fraction form
    505,302.50/743,166.50 = 743,166.50/x
  3. Step 3: Cross multiply
    505,302.50x = 743,166.50 × 743,166.50
  4. Step 4: Simplify right side
    505,302.50x = 552,296,446,722.25
  5. Step 5: Solve for x
    x = 552,296,446,722.25/505,302.50
  6. Step 6: Final answer
    x = 1,093,001.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.