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Finding the Third Proportional to 425,126 and 651,081

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Solution

The third proportional to 425,126 and 651,081 is: 997,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,126 : 651,081 = 651,081 : x
  2. Step 2: Convert to fraction form
    425,126/651,081 = 651,081/x
  3. Step 3: Cross multiply
    425,126x = 651,081 × 651,081
  4. Step 4: Simplify right side
    425,126x = 423,906,468,561
  5. Step 5: Solve for x
    x = 423,906,468,561/425,126
  6. Step 6: Final answer
    x = 997,131.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.