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Finding the Third Proportional to 552,512.25 and 779,868

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Solution

The third proportional to 552,512.25 and 779,868 is: 1,100,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,512.25 : 779,868 = 779,868 : x
  2. Step 2: Convert to fraction form
    552,512.25/779,868 = 779,868/x
  3. Step 3: Cross multiply
    552,512.25x = 779,868 × 779,868
  4. Step 4: Simplify right side
    552,512.25x = 608,194,097,424
  5. Step 5: Solve for x
    x = 608,194,097,424/552,512.25
  6. Step 6: Final answer
    x = 1,100,779.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.