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Finding the Third Proportional to 265,932 and 576,171

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Solution

The third proportional to 265,932 and 576,171 is: 1,248,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,932 : 576,171 = 576,171 : x
  2. Step 2: Convert to fraction form
    265,932/576,171 = 576,171/x
  3. Step 3: Cross multiply
    265,932x = 576,171 × 576,171
  4. Step 4: Simplify right side
    265,932x = 331,973,021,241
  5. Step 5: Solve for x
    x = 331,973,021,241/265,932
  6. Step 6: Final answer
    x = 1,248,338.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.