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Finding the Third Proportional to 761,744.25 and 1,157,571

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Solution

The third proportional to 761,744.25 and 1,157,571 is: 1,759,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,744.25 : 1,157,571 = 1,157,571 : x
  2. Step 2: Convert to fraction form
    761,744.25/1,157,571 = 1,157,571/x
  3. Step 3: Cross multiply
    761,744.25x = 1,157,571 × 1,157,571
  4. Step 4: Simplify right side
    761,744.25x = 1,339,970,620,041
  5. Step 5: Solve for x
    x = 1,339,970,620,041/761,744.25
  6. Step 6: Final answer
    x = 1,759,082.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.