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Finding the Third Proportional to 494,964.75 and 765,152.25

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Solution

The third proportional to 494,964.75 and 765,152.25 is: 1,182,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,964.75 : 765,152.25 = 765,152.25 : x
  2. Step 2: Convert to fraction form
    494,964.75/765,152.25 = 765,152.25/x
  3. Step 3: Cross multiply
    494,964.75x = 765,152.25 × 765,152.25
  4. Step 4: Simplify right side
    494,964.75x = 585,457,965,680.06
  5. Step 5: Solve for x
    x = 585,457,965,680.06/494,964.75
  6. Step 6: Final answer
    x = 1,182,827.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.