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Finding the Third Proportional to 263,817 and 577,530

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Solution

The third proportional to 263,817 and 577,530 is: 1,264,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,817 : 577,530 = 577,530 : x
  2. Step 2: Convert to fraction form
    263,817/577,530 = 577,530/x
  3. Step 3: Cross multiply
    263,817x = 577,530 × 577,530
  4. Step 4: Simplify right side
    263,817x = 333,540,900,900
  5. Step 5: Solve for x
    x = 333,540,900,900/263,817
  6. Step 6: Final answer
    x = 1,264,288.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.