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Finding the Third Proportional to 449,932 and 632,798

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Solution

The third proportional to 449,932 and 632,798 is: 889,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,932 : 632,798 = 632,798 : x
  2. Step 2: Convert to fraction form
    449,932/632,798 = 632,798/x
  3. Step 3: Cross multiply
    449,932x = 632,798 × 632,798
  4. Step 4: Simplify right side
    449,932x = 400,433,308,804
  5. Step 5: Solve for x
    x = 400,433,308,804/449,932
  6. Step 6: Final answer
    x = 889,986.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.