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Finding the Third Proportional to 425,925 and 635,195.25

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Solution

The third proportional to 425,925 and 635,195.25 is: 947,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,925 : 635,195.25 = 635,195.25 : x
  2. Step 2: Convert to fraction form
    425,925/635,195.25 = 635,195.25/x
  3. Step 3: Cross multiply
    425,925x = 635,195.25 × 635,195.25
  4. Step 4: Simplify right side
    425,925x = 403,473,005,622.56
  5. Step 5: Solve for x
    x = 403,473,005,622.56/425,925
  6. Step 6: Final answer
    x = 947,286.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.