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Finding the Third Proportional to 591,876 and 927,480

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Solution

The third proportional to 591,876 and 927,480 is: 1,453,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,876 : 927,480 = 927,480 : x
  2. Step 2: Convert to fraction form
    591,876/927,480 = 927,480/x
  3. Step 3: Cross multiply
    591,876x = 927,480 × 927,480
  4. Step 4: Simplify right side
    591,876x = 860,219,150,400
  5. Step 5: Solve for x
    x = 860,219,150,400/591,876
  6. Step 6: Final answer
    x = 1,453,377.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.