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Finding the Third Proportional to 412,779.94 and 631,480.50

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Solution

The third proportional to 412,779.94 and 631,480.50 is: 966,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,779.94 : 631,480.50 = 631,480.50 : x
  2. Step 2: Convert to fraction form
    412,779.94/631,480.50 = 631,480.50/x
  3. Step 3: Cross multiply
    412,779.94x = 631,480.50 × 631,480.50
  4. Step 4: Simplify right side
    412,779.94x = 398,767,621,880.25
  5. Step 5: Solve for x
    x = 398,767,621,880.25/412,779.94
  6. Step 6: Final answer
    x = 966,053.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.