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Finding the Third Proportional to 533,767 and 764,496

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Solution

The third proportional to 533,767 and 764,496 is: 1,094,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,767 : 764,496 = 764,496 : x
  2. Step 2: Convert to fraction form
    533,767/764,496 = 764,496/x
  3. Step 3: Cross multiply
    533,767x = 764,496 × 764,496
  4. Step 4: Simplify right side
    533,767x = 584,454,134,016
  5. Step 5: Solve for x
    x = 584,454,134,016/533,767
  6. Step 6: Final answer
    x = 1,094,961.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.