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Finding the Third Proportional to 342,976 and 753,829

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Solution

The third proportional to 342,976 and 753,829 is: 1,656,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,976 : 753,829 = 753,829 : x
  2. Step 2: Convert to fraction form
    342,976/753,829 = 753,829/x
  3. Step 3: Cross multiply
    342,976x = 753,829 × 753,829
  4. Step 4: Simplify right side
    342,976x = 568,258,161,241
  5. Step 5: Solve for x
    x = 568,258,161,241/342,976
  6. Step 6: Final answer
    x = 1,656,845.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.