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Finding the Third Proportional to 517,889 and 794,876

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Solution

The third proportional to 517,889 and 794,876 is: 1,220,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,889 : 794,876 = 794,876 : x
  2. Step 2: Convert to fraction form
    517,889/794,876 = 794,876/x
  3. Step 3: Cross multiply
    517,889x = 794,876 × 794,876
  4. Step 4: Simplify right side
    517,889x = 631,827,855,376
  5. Step 5: Solve for x
    x = 631,827,855,376/517,889
  6. Step 6: Final answer
    x = 1,220,006.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.