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Finding the Third Proportional to 450,036 and 632,946

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Solution

The third proportional to 450,036 and 632,946 is: 890,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,036 : 632,946 = 632,946 : x
  2. Step 2: Convert to fraction form
    450,036/632,946 = 632,946/x
  3. Step 3: Cross multiply
    450,036x = 632,946 × 632,946
  4. Step 4: Simplify right side
    450,036x = 400,620,638,916
  5. Step 5: Solve for x
    x = 400,620,638,916/450,036
  6. Step 6: Final answer
    x = 890,196.87

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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.