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Finding the Third Proportional to 264,333 and 571,677

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Solution

The third proportional to 264,333 and 571,677 is: 1,236,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,333 : 571,677 = 571,677 : x
  2. Step 2: Convert to fraction form
    264,333/571,677 = 571,677/x
  3. Step 3: Cross multiply
    264,333x = 571,677 × 571,677
  4. Step 4: Simplify right side
    264,333x = 326,814,592,329
  5. Step 5: Solve for x
    x = 326,814,592,329/264,333
  6. Step 6: Final answer
    x = 1,236,374.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.