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Finding the Third Proportional to 404,112 and 633,960

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Solution

The third proportional to 404,112 and 633,960 is: 994,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,112 : 633,960 = 633,960 : x
  2. Step 2: Convert to fraction form
    404,112/633,960 = 633,960/x
  3. Step 3: Cross multiply
    404,112x = 633,960 × 633,960
  4. Step 4: Simplify right side
    404,112x = 401,905,281,600
  5. Step 5: Solve for x
    x = 401,905,281,600/404,112
  6. Step 6: Final answer
    x = 994,539.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.