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Finding the Third Proportional to 369,024.50 and 550,687.50

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Solution

The third proportional to 369,024.50 and 550,687.50 is: 821,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,024.50 : 550,687.50 = 550,687.50 : x
  2. Step 2: Convert to fraction form
    369,024.50/550,687.50 = 550,687.50/x
  3. Step 3: Cross multiply
    369,024.50x = 550,687.50 × 550,687.50
  4. Step 4: Simplify right side
    369,024.50x = 303,256,722,656.25
  5. Step 5: Solve for x
    x = 303,256,722,656.25/369,024.50
  6. Step 6: Final answer
    x = 821,779.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.