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Finding the Third Proportional to 264,780 and 576,152

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Solution

The third proportional to 264,780 and 576,152 is: 1,253,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,780 : 576,152 = 576,152 : x
  2. Step 2: Convert to fraction form
    264,780/576,152 = 576,152/x
  3. Step 3: Cross multiply
    264,780x = 576,152 × 576,152
  4. Step 4: Simplify right side
    264,780x = 331,951,127,104
  5. Step 5: Solve for x
    x = 331,951,127,104/264,780
  6. Step 6: Final answer
    x = 1,253,686.56

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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.