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Finding the Third Proportional to 342,756 and 547,344

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Solution

The third proportional to 342,756 and 547,344 is: 874,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,756 : 547,344 = 547,344 : x
  2. Step 2: Convert to fraction form
    342,756/547,344 = 547,344/x
  3. Step 3: Cross multiply
    342,756x = 547,344 × 547,344
  4. Step 4: Simplify right side
    342,756x = 299,585,454,336
  5. Step 5: Solve for x
    x = 299,585,454,336/342,756
  6. Step 6: Final answer
    x = 874,048.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.