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Finding the Third Proportional to 724,011.50 and 952,075

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Solution

The third proportional to 724,011.50 and 952,075 is: 1,251,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,011.50 : 952,075 = 952,075 : x
  2. Step 2: Convert to fraction form
    724,011.50/952,075 = 952,075/x
  3. Step 3: Cross multiply
    724,011.50x = 952,075 × 952,075
  4. Step 4: Simplify right side
    724,011.50x = 906,446,805,625
  5. Step 5: Solve for x
    x = 906,446,805,625/724,011.50
  6. Step 6: Final answer
    x = 1,251,978.46

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.