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Finding the Third Proportional to 342,826 and 727,114

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Solution

The third proportional to 342,826 and 727,114 is: 1,542,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,826 : 727,114 = 727,114 : x
  2. Step 2: Convert to fraction form
    342,826/727,114 = 727,114/x
  3. Step 3: Cross multiply
    342,826x = 727,114 × 727,114
  4. Step 4: Simplify right side
    342,826x = 528,694,768,996
  5. Step 5: Solve for x
    x = 528,694,768,996/342,826
  6. Step 6: Final answer
    x = 1,542,166.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.