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Finding the Third Proportional to 552,516 and 779,872

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Solution

The third proportional to 552,516 and 779,872 is: 1,100,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,516 : 779,872 = 779,872 : x
  2. Step 2: Convert to fraction form
    552,516/779,872 = 779,872/x
  3. Step 3: Cross multiply
    552,516x = 779,872 × 779,872
  4. Step 4: Simplify right side
    552,516x = 608,200,336,384
  5. Step 5: Solve for x
    x = 608,200,336,384/552,516
  6. Step 6: Final answer
    x = 1,100,783.21

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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.