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Finding the Third Proportional to 604,928.25 and 822,048.75

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Solution

The third proportional to 604,928.25 and 822,048.75 is: 1,117,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,928.25 : 822,048.75 = 822,048.75 : x
  2. Step 2: Convert to fraction form
    604,928.25/822,048.75 = 822,048.75/x
  3. Step 3: Cross multiply
    604,928.25x = 822,048.75 × 822,048.75
  4. Step 4: Simplify right side
    604,928.25x = 675,764,147,376.56
  5. Step 5: Solve for x
    x = 675,764,147,376.56/604,928.25
  6. Step 6: Final answer
    x = 1,117,098.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.