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Finding the Third Proportional to 494,295.75 and 1,078,805.25

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Solution

The third proportional to 494,295.75 and 1,078,805.25 is: 2,354,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,295.75 : 1,078,805.25 = 1,078,805.25 : x
  2. Step 2: Convert to fraction form
    494,295.75/1,078,805.25 = 1,078,805.25/x
  3. Step 3: Cross multiply
    494,295.75x = 1,078,805.25 × 1,078,805.25
  4. Step 4: Simplify right side
    494,295.75x = 1,163,820,767,427.56
  5. Step 5: Solve for x
    x = 1,163,820,767,427.56/494,295.75
  6. Step 6: Final answer
    x = 2,354,502.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.