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Finding the Third Proportional to 402,351 and 837,751

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Solution

The third proportional to 402,351 and 837,751 is: 1,744,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,351 : 837,751 = 837,751 : x
  2. Step 2: Convert to fraction form
    402,351/837,751 = 837,751/x
  3. Step 3: Cross multiply
    402,351x = 837,751 × 837,751
  4. Step 4: Simplify right side
    402,351x = 701,826,738,001
  5. Step 5: Solve for x
    x = 701,826,738,001/402,351
  6. Step 6: Final answer
    x = 1,744,314.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.