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Finding the Third Proportional to 402,126 and 622,083

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Solution

The third proportional to 402,126 and 622,083 is: 962,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,126 : 622,083 = 622,083 : x
  2. Step 2: Convert to fraction form
    402,126/622,083 = 622,083/x
  3. Step 3: Cross multiply
    402,126x = 622,083 × 622,083
  4. Step 4: Simplify right side
    402,126x = 386,987,258,889
  5. Step 5: Solve for x
    x = 386,987,258,889/402,126
  6. Step 6: Final answer
    x = 962,353.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.