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Finding the Third Proportional to 402,277 and 837,925

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Solution

The third proportional to 402,277 and 837,925 is: 1,745,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,277 : 837,925 = 837,925 : x
  2. Step 2: Convert to fraction form
    402,277/837,925 = 837,925/x
  3. Step 3: Cross multiply
    402,277x = 837,925 × 837,925
  4. Step 4: Simplify right side
    402,277x = 702,118,305,625
  5. Step 5: Solve for x
    x = 702,118,305,625/402,277
  6. Step 6: Final answer
    x = 1,745,360.30

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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.