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Finding the Third Proportional to 533,253.75 and 754,534.50

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Solution

The third proportional to 533,253.75 and 754,534.50 is: 1,067,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,253.75 : 754,534.50 = 754,534.50 : x
  2. Step 2: Convert to fraction form
    533,253.75/754,534.50 = 754,534.50/x
  3. Step 3: Cross multiply
    533,253.75x = 754,534.50 × 754,534.50
  4. Step 4: Simplify right side
    533,253.75x = 569,322,311,690.25
  5. Step 5: Solve for x
    x = 569,322,311,690.25/533,253.75
  6. Step 6: Final answer
    x = 1,067,638.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.