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Finding the Third Proportional to 578,742.75 and 825,549.75

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Solution

The third proportional to 578,742.75 and 825,549.75 is: 1,177,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,742.75 : 825,549.75 = 825,549.75 : x
  2. Step 2: Convert to fraction form
    578,742.75/825,549.75 = 825,549.75/x
  3. Step 3: Cross multiply
    578,742.75x = 825,549.75 × 825,549.75
  4. Step 4: Simplify right side
    578,742.75x = 681,532,389,725.06
  5. Step 5: Solve for x
    x = 681,532,389,725.06/578,742.75
  6. Step 6: Final answer
    x = 1,177,608.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.