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Finding the Third Proportional to 450,032 and 632,940

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Solution

The third proportional to 450,032 and 632,940 is: 890,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,032 : 632,940 = 632,940 : x
  2. Step 2: Convert to fraction form
    450,032/632,940 = 632,940/x
  3. Step 3: Cross multiply
    450,032x = 632,940 × 632,940
  4. Step 4: Simplify right side
    450,032x = 400,613,043,600
  5. Step 5: Solve for x
    x = 400,613,043,600/450,032
  6. Step 6: Final answer
    x = 890,187.91

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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.