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Finding the Third Proportional to 405,752.06 and 633,193.31

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Solution

The third proportional to 405,752.06 and 633,193.31 is: 988,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,752.06 : 633,193.31 = 633,193.31 : x
  2. Step 2: Convert to fraction form
    405,752.06/633,193.31 = 633,193.31/x
  3. Step 3: Cross multiply
    405,752.06x = 633,193.31 × 633,193.31
  4. Step 4: Simplify right side
    405,752.06x = 400,933,770,994.72
  5. Step 5: Solve for x
    x = 400,933,770,994.72/405,752.06
  6. Step 6: Final answer
    x = 988,125.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.