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Finding the Third Proportional to 463,957.75 and 970,336.25

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Solution

The third proportional to 463,957.75 and 970,336.25 is: 2,029,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,957.75 : 970,336.25 = 970,336.25 : x
  2. Step 2: Convert to fraction form
    463,957.75/970,336.25 = 970,336.25/x
  3. Step 3: Cross multiply
    463,957.75x = 970,336.25 × 970,336.25
  4. Step 4: Simplify right side
    463,957.75x = 941,552,438,064.06
  5. Step 5: Solve for x
    x = 941,552,438,064.06/463,957.75
  6. Step 6: Final answer
    x = 2,029,392.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.