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Finding the Third Proportional to 533,726 and 825,535

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Solution

The third proportional to 533,726 and 825,535 is: 1,276,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,726 : 825,535 = 825,535 : x
  2. Step 2: Convert to fraction form
    533,726/825,535 = 825,535/x
  3. Step 3: Cross multiply
    533,726x = 825,535 × 825,535
  4. Step 4: Simplify right side
    533,726x = 681,508,036,225
  5. Step 5: Solve for x
    x = 681,508,036,225/533,726
  6. Step 6: Final answer
    x = 1,276,887.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.