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Finding the Third Proportional to 264,666 and 577,311

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Solution

The third proportional to 264,666 and 577,311 is: 1,259,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,666 : 577,311 = 577,311 : x
  2. Step 2: Convert to fraction form
    264,666/577,311 = 577,311/x
  3. Step 3: Cross multiply
    264,666x = 577,311 × 577,311
  4. Step 4: Simplify right side
    264,666x = 333,287,990,721
  5. Step 5: Solve for x
    x = 333,287,990,721/264,666
  6. Step 6: Final answer
    x = 1,259,277.70

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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.