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Finding the Third Proportional to 535,936.50 and 1,149,579.84

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Solution

The third proportional to 535,936.50 and 1,149,579.84 is: 2,465,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,936.50 : 1,149,579.84 = 1,149,579.84 : x
  2. Step 2: Convert to fraction form
    535,936.50/1,149,579.84 = 1,149,579.84/x
  3. Step 3: Cross multiply
    535,936.50x = 1,149,579.84 × 1,149,579.84
  4. Step 4: Simplify right side
    535,936.50x = 1,321,533,817,156.27
  5. Step 5: Solve for x
    x = 1,321,533,817,156.27/535,936.50
  6. Step 6: Final answer
    x = 2,465,840.29

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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.