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Finding the Third Proportional to 576,016 and 764,348

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Solution

The third proportional to 576,016 and 764,348 is: 1,014,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,016 : 764,348 = 764,348 : x
  2. Step 2: Convert to fraction form
    576,016/764,348 = 764,348/x
  3. Step 3: Cross multiply
    576,016x = 764,348 × 764,348
  4. Step 4: Simplify right side
    576,016x = 584,227,865,104
  5. Step 5: Solve for x
    x = 584,227,865,104/576,016
  6. Step 6: Final answer
    x = 1,014,256.31

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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.