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Finding the Third Proportional to 425,116 and 635,405

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Solution

The third proportional to 425,116 and 635,405 is: 949,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,116 : 635,405 = 635,405 : x
  2. Step 2: Convert to fraction form
    425,116/635,405 = 635,405/x
  3. Step 3: Cross multiply
    425,116x = 635,405 × 635,405
  4. Step 4: Simplify right side
    425,116x = 403,739,514,025
  5. Step 5: Solve for x
    x = 403,739,514,025/425,116
  6. Step 6: Final answer
    x = 949,716.11

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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.