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Finding the Third Proportional to 416,248 and 622,702

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Solution

The third proportional to 416,248 and 622,702 is: 931,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,248 : 622,702 = 622,702 : x
  2. Step 2: Convert to fraction form
    416,248/622,702 = 622,702/x
  3. Step 3: Cross multiply
    416,248x = 622,702 × 622,702
  4. Step 4: Simplify right side
    416,248x = 387,757,780,804
  5. Step 5: Solve for x
    x = 387,757,780,804/416,248
  6. Step 6: Final answer
    x = 931,554.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.