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Finding the Third Proportional to 446,708.25 and 963,400.50

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Solution

The third proportional to 446,708.25 and 963,400.50 is: 2,077,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,708.25 : 963,400.50 = 963,400.50 : x
  2. Step 2: Convert to fraction form
    446,708.25/963,400.50 = 963,400.50/x
  3. Step 3: Cross multiply
    446,708.25x = 963,400.50 × 963,400.50
  4. Step 4: Simplify right side
    446,708.25x = 928,140,523,400.25
  5. Step 5: Solve for x
    x = 928,140,523,400.25/446,708.25
  6. Step 6: Final answer
    x = 2,077,733.11

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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.