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Finding the Third Proportional to 439,742.75 and 963,651.25

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Solution

The third proportional to 439,742.75 and 963,651.25 is: 2,111,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,742.75 : 963,651.25 = 963,651.25 : x
  2. Step 2: Convert to fraction form
    439,742.75/963,651.25 = 963,651.25/x
  3. Step 3: Cross multiply
    439,742.75x = 963,651.25 × 963,651.25
  4. Step 4: Simplify right side
    439,742.75x = 928,623,731,626.56
  5. Step 5: Solve for x
    x = 928,623,731,626.56/439,742.75
  6. Step 6: Final answer
    x = 2,111,743.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.