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Finding the Third Proportional to 533,398.50 and 1,155,735

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Solution

The third proportional to 533,398.50 and 1,155,735 is: 2,504,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,398.50 : 1,155,735 = 1,155,735 : x
  2. Step 2: Convert to fraction form
    533,398.50/1,155,735 = 1,155,735/x
  3. Step 3: Cross multiply
    533,398.50x = 1,155,735 × 1,155,735
  4. Step 4: Simplify right side
    533,398.50x = 1,335,723,390,225
  5. Step 5: Solve for x
    x = 1,335,723,390,225/533,398.50
  6. Step 6: Final answer
    x = 2,504,175.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.