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Finding the Third Proportional to 402,296 and 837,660.50

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Solution

The third proportional to 402,296 and 837,660.50 is: 1,744,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,296 : 837,660.50 = 837,660.50 : x
  2. Step 2: Convert to fraction form
    402,296/837,660.50 = 837,660.50/x
  3. Step 3: Cross multiply
    402,296x = 837,660.50 × 837,660.50
  4. Step 4: Simplify right side
    402,296x = 701,675,113,260.25
  5. Step 5: Solve for x
    x = 701,675,113,260.25/402,296
  6. Step 6: Final answer
    x = 1,744,176.21

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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.