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Finding the Third Proportional to 449,937 and 632,805

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Solution

The third proportional to 449,937 and 632,805 is: 889,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,937 : 632,805 = 632,805 : x
  2. Step 2: Convert to fraction form
    449,937/632,805 = 632,805/x
  3. Step 3: Cross multiply
    449,937x = 632,805 × 632,805
  4. Step 4: Simplify right side
    449,937x = 400,442,168,025
  5. Step 5: Solve for x
    x = 400,442,168,025/449,937
  6. Step 6: Final answer
    x = 889,996.08

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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.