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Finding the Third Proportional to 425,114 and 635,402

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Solution

The third proportional to 425,114 and 635,402 is: 949,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,114 : 635,402 = 635,402 : x
  2. Step 2: Convert to fraction form
    425,114/635,402 = 635,402/x
  3. Step 3: Cross multiply
    425,114x = 635,402 × 635,402
  4. Step 4: Simplify right side
    425,114x = 403,735,701,604
  5. Step 5: Solve for x
    x = 403,735,701,604/425,114
  6. Step 6: Final answer
    x = 949,711.61

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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.