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Finding the Third Proportional to 275,592 and 496,788

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Solution

The third proportional to 275,592 and 496,788 is: 895,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,592 : 496,788 = 496,788 : x
  2. Step 2: Convert to fraction form
    275,592/496,788 = 496,788/x
  3. Step 3: Cross multiply
    275,592x = 496,788 × 496,788
  4. Step 4: Simplify right side
    275,592x = 246,798,316,944
  5. Step 5: Solve for x
    x = 246,798,316,944/275,592
  6. Step 6: Final answer
    x = 895,520.61

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.