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Finding the Third Proportional to 460,016 and 633,452

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Solution

The third proportional to 460,016 and 633,452 is: 872,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,016 : 633,452 = 633,452 : x
  2. Step 2: Convert to fraction form
    460,016/633,452 = 633,452/x
  3. Step 3: Cross multiply
    460,016x = 633,452 × 633,452
  4. Step 4: Simplify right side
    460,016x = 401,261,436,304
  5. Step 5: Solve for x
    x = 401,261,436,304/460,016
  6. Step 6: Final answer
    x = 872,277.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.