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Finding the Third Proportional to 343,751 and 738,280

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Solution

The third proportional to 343,751 and 738,280 is: 1,585,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,751 : 738,280 = 738,280 : x
  2. Step 2: Convert to fraction form
    343,751/738,280 = 738,280/x
  3. Step 3: Cross multiply
    343,751x = 738,280 × 738,280
  4. Step 4: Simplify right side
    343,751x = 545,057,358,400
  5. Step 5: Solve for x
    x = 545,057,358,400/343,751
  6. Step 6: Final answer
    x = 1,585,616.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.