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Finding the Third Proportional to 419,616 and 632,927

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Solution

The third proportional to 419,616 and 632,927 is: 954,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616 : 632,927 = 632,927 : x
  2. Step 2: Convert to fraction form
    419,616/632,927 = 632,927/x
  3. Step 3: Cross multiply
    419,616x = 632,927 × 632,927
  4. Step 4: Simplify right side
    419,616x = 400,596,587,329
  5. Step 5: Solve for x
    x = 400,596,587,329/419,616
  6. Step 6: Final answer
    x = 954,674.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.