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Finding the Third Proportional to 342,918 and 752,094

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Solution

The third proportional to 342,918 and 752,094 is: 1,649,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,918 : 752,094 = 752,094 : x
  2. Step 2: Convert to fraction form
    342,918/752,094 = 752,094/x
  3. Step 3: Cross multiply
    342,918x = 752,094 × 752,094
  4. Step 4: Simplify right side
    342,918x = 565,645,384,836
  5. Step 5: Solve for x
    x = 565,645,384,836/342,918
  6. Step 6: Final answer
    x = 1,649,506.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.