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Finding the Third Proportional to 264,782 and 576,154

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Solution

The third proportional to 264,782 and 576,154 is: 1,253,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,782 : 576,154 = 576,154 : x
  2. Step 2: Convert to fraction form
    264,782/576,154 = 576,154/x
  3. Step 3: Cross multiply
    264,782x = 576,154 × 576,154
  4. Step 4: Simplify right side
    264,782x = 331,953,431,716
  5. Step 5: Solve for x
    x = 331,953,431,716/264,782
  6. Step 6: Final answer
    x = 1,253,685.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.