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Finding the Third Proportional to 515,876 and 579,844

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Solution

The third proportional to 515,876 and 579,844 is: 651,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,876 : 579,844 = 579,844 : x
  2. Step 2: Convert to fraction form
    515,876/579,844 = 579,844/x
  3. Step 3: Cross multiply
    515,876x = 579,844 × 579,844
  4. Step 4: Simplify right side
    515,876x = 336,219,064,336
  5. Step 5: Solve for x
    x = 336,219,064,336/515,876
  6. Step 6: Final answer
    x = 651,743.95

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.