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Finding the Third Proportional to 266,862.94 and 582,973.88

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Solution

The third proportional to 266,862.94 and 582,973.88 is: 1,273,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,862.94 : 582,973.88 = 582,973.88 : x
  2. Step 2: Convert to fraction form
    266,862.94/582,973.88 = 582,973.88/x
  3. Step 3: Cross multiply
    266,862.94x = 582,973.88 × 582,973.88
  4. Step 4: Simplify right side
    266,862.94x = 339,858,538,932.52
  5. Step 5: Solve for x
    x = 339,858,538,932.52/266,862.94
  6. Step 6: Final answer
    x = 1,273,532.18

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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.