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Finding the Third Proportional to 264,663 and 576,909

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Solution

The third proportional to 264,663 and 576,909 is: 1,257,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,663 : 576,909 = 576,909 : x
  2. Step 2: Convert to fraction form
    264,663/576,909 = 576,909/x
  3. Step 3: Cross multiply
    264,663x = 576,909 × 576,909
  4. Step 4: Simplify right side
    264,663x = 332,823,994,281
  5. Step 5: Solve for x
    x = 332,823,994,281/264,663
  6. Step 6: Final answer
    x = 1,257,538.81

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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.