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Finding the Third Proportional to 424,321.50 and 915,075

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Solution

The third proportional to 424,321.50 and 915,075 is: 1,973,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,321.50 : 915,075 = 915,075 : x
  2. Step 2: Convert to fraction form
    424,321.50/915,075 = 915,075/x
  3. Step 3: Cross multiply
    424,321.50x = 915,075 × 915,075
  4. Step 4: Simplify right side
    424,321.50x = 837,362,255,625
  5. Step 5: Solve for x
    x = 837,362,255,625/424,321.50
  6. Step 6: Final answer
    x = 1,973,414.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.