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Finding the Third Proportional to 449,973 and 632,856

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Solution

The third proportional to 449,973 and 632,856 is: 890,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,973 : 632,856 = 632,856 : x
  2. Step 2: Convert to fraction form
    449,973/632,856 = 632,856/x
  3. Step 3: Cross multiply
    449,973x = 632,856 × 632,856
  4. Step 4: Simplify right side
    449,973x = 400,506,716,736
  5. Step 5: Solve for x
    x = 400,506,716,736/449,973
  6. Step 6: Final answer
    x = 890,068.33

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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.