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Finding the Third Proportional to 578,769.75 and 825,590.25

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Solution

The third proportional to 578,769.75 and 825,590.25 is: 1,177,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,769.75 : 825,590.25 = 825,590.25 : x
  2. Step 2: Convert to fraction form
    578,769.75/825,590.25 = 825,590.25/x
  3. Step 3: Cross multiply
    578,769.75x = 825,590.25 × 825,590.25
  4. Step 4: Simplify right side
    578,769.75x = 681,599,260,895.06
  5. Step 5: Solve for x
    x = 681,599,260,895.06/578,769.75
  6. Step 6: Final answer
    x = 1,177,669.12

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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.