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Finding the Third Proportional to 446,946.75 and 573,858

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Solution

The third proportional to 446,946.75 and 573,858 is: 736,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,946.75 : 573,858 = 573,858 : x
  2. Step 2: Convert to fraction form
    446,946.75/573,858 = 573,858/x
  3. Step 3: Cross multiply
    446,946.75x = 573,858 × 573,858
  4. Step 4: Simplify right side
    446,946.75x = 329,313,004,164
  5. Step 5: Solve for x
    x = 329,313,004,164/446,946.75
  6. Step 6: Final answer
    x = 736,805.90

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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.