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Finding the Third Proportional to 519,552 and 801,216

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Solution

The third proportional to 519,552 and 801,216 is: 1,235,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,552 : 801,216 = 801,216 : x
  2. Step 2: Convert to fraction form
    519,552/801,216 = 801,216/x
  3. Step 3: Cross multiply
    519,552x = 801,216 × 801,216
  4. Step 4: Simplify right side
    519,552x = 641,947,078,656
  5. Step 5: Solve for x
    x = 641,947,078,656/519,552
  6. Step 6: Final answer
    x = 1,235,578.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.