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Finding the Third Proportional to 446,871.94 and 573,772.36

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Solution

The third proportional to 446,871.94 and 573,772.36 is: 736,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,871.94 : 573,772.36 = 573,772.36 : x
  2. Step 2: Convert to fraction form
    446,871.94/573,772.36 = 573,772.36/x
  3. Step 3: Cross multiply
    446,871.94x = 573,772.36 × 573,772.36
  4. Step 4: Simplify right side
    446,871.94x = 329,214,720,382.75
  5. Step 5: Solve for x
    x = 329,214,720,382.75/446,871.94
  6. Step 6: Final answer
    x = 736,709.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.