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Finding the Third Proportional to 405,738 and 631,568.25

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Solution

The third proportional to 405,738 and 631,568.25 is: 983,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,738 : 631,568.25 = 631,568.25 : x
  2. Step 2: Convert to fraction form
    405,738/631,568.25 = 631,568.25/x
  3. Step 3: Cross multiply
    405,738x = 631,568.25 × 631,568.25
  4. Step 4: Simplify right side
    405,738x = 398,878,454,408.06
  5. Step 5: Solve for x
    x = 398,878,454,408.06/405,738
  6. Step 6: Final answer
    x = 983,093.66

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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.