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Finding the Third Proportional to 496,480.25 and 1,060,736

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Solution

The third proportional to 496,480.25 and 1,060,736 is: 2,266,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,480.25 : 1,060,736 = 1,060,736 : x
  2. Step 2: Convert to fraction form
    496,480.25/1,060,736 = 1,060,736/x
  3. Step 3: Cross multiply
    496,480.25x = 1,060,736 × 1,060,736
  4. Step 4: Simplify right side
    496,480.25x = 1,125,160,861,696
  5. Step 5: Solve for x
    x = 1,125,160,861,696/496,480.25
  6. Step 6: Final answer
    x = 2,266,275.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.