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Finding the Third Proportional to 425,435 and 635,154

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Solution

The third proportional to 425,435 and 635,154 is: 948,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,435 : 635,154 = 635,154 : x
  2. Step 2: Convert to fraction form
    425,435/635,154 = 635,154/x
  3. Step 3: Cross multiply
    425,435x = 635,154 × 635,154
  4. Step 4: Simplify right side
    425,435x = 403,420,603,716
  5. Step 5: Solve for x
    x = 403,420,603,716/425,435
  6. Step 6: Final answer
    x = 948,254.38

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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.