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Finding the Third Proportional to 342,795 and 727,062

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Solution

The third proportional to 342,795 and 727,062 is: 1,542,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,795 : 727,062 = 727,062 : x
  2. Step 2: Convert to fraction form
    342,795/727,062 = 727,062/x
  3. Step 3: Cross multiply
    342,795x = 727,062 × 727,062
  4. Step 4: Simplify right side
    342,795x = 528,619,151,844
  5. Step 5: Solve for x
    x = 528,619,151,844/342,795
  6. Step 6: Final answer
    x = 1,542,085.36

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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.