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Finding the Third Proportional to 446,212.88 and 963,430.50

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Solution

The third proportional to 446,212.88 and 963,430.50 is: 2,080,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,212.88 : 963,430.50 = 963,430.50 : x
  2. Step 2: Convert to fraction form
    446,212.88/963,430.50 = 963,430.50/x
  3. Step 3: Cross multiply
    446,212.88x = 963,430.50 × 963,430.50
  4. Step 4: Simplify right side
    446,212.88x = 928,198,328,330.25
  5. Step 5: Solve for x
    x = 928,198,328,330.25/446,212.88
  6. Step 6: Final answer
    x = 2,080,169.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.