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Finding the Third Proportional to 576,171 and 764,565

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Solution

The third proportional to 576,171 and 764,565 is: 1,014,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,171 : 764,565 = 764,565 : x
  2. Step 2: Convert to fraction form
    576,171/764,565 = 764,565/x
  3. Step 3: Cross multiply
    576,171x = 764,565 × 764,565
  4. Step 4: Simplify right side
    576,171x = 584,559,639,225
  5. Step 5: Solve for x
    x = 584,559,639,225/576,171
  6. Step 6: Final answer
    x = 1,014,559.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.