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Finding the Third Proportional to 508,480.88 and 769,282.88

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Solution

The third proportional to 508,480.88 and 769,282.88 is: 1,163,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,480.88 : 769,282.88 = 769,282.88 : x
  2. Step 2: Convert to fraction form
    508,480.88/769,282.88 = 769,282.88/x
  3. Step 3: Cross multiply
    508,480.88x = 769,282.88 × 769,282.88
  4. Step 4: Simplify right side
    508,480.88x = 591,796,141,768.27
  5. Step 5: Solve for x
    x = 591,796,141,768.27/508,480.88
  6. Step 6: Final answer
    x = 1,163,851.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.