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Finding the Third Proportional to 264,913 and 573,876

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Solution

The third proportional to 264,913 and 573,876 is: 1,243,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,913 : 573,876 = 573,876 : x
  2. Step 2: Convert to fraction form
    264,913/573,876 = 573,876/x
  3. Step 3: Cross multiply
    264,913x = 573,876 × 573,876
  4. Step 4: Simplify right side
    264,913x = 329,333,663,376
  5. Step 5: Solve for x
    x = 329,333,663,376/264,913
  6. Step 6: Final answer
    x = 1,243,176.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.