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Finding the Third Proportional to 342,880 and 752,178

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Solution

The third proportional to 342,880 and 752,178 is: 1,650,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,880 : 752,178 = 752,178 : x
  2. Step 2: Convert to fraction form
    342,880/752,178 = 752,178/x
  3. Step 3: Cross multiply
    342,880x = 752,178 × 752,178
  4. Step 4: Simplify right side
    342,880x = 565,771,743,684
  5. Step 5: Solve for x
    x = 565,771,743,684/342,880
  6. Step 6: Final answer
    x = 1,650,057.58

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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.