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Finding the Third Proportional to 416,890 and 633,759

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Solution

The third proportional to 416,890 and 633,759 is: 963,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,890 : 633,759 = 633,759 : x
  2. Step 2: Convert to fraction form
    416,890/633,759 = 633,759/x
  3. Step 3: Cross multiply
    416,890x = 633,759 × 633,759
  4. Step 4: Simplify right side
    416,890x = 401,650,470,081
  5. Step 5: Solve for x
    x = 401,650,470,081/416,890
  6. Step 6: Final answer
    x = 963,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.