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Finding the Third Proportional to 446,964.75 and 573,898.50

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Solution

The third proportional to 446,964.75 and 573,898.50 is: 736,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,964.75 : 573,898.50 = 573,898.50 : x
  2. Step 2: Convert to fraction form
    446,964.75/573,898.50 = 573,898.50/x
  3. Step 3: Cross multiply
    446,964.75x = 573,898.50 × 573,898.50
  4. Step 4: Simplify right side
    446,964.75x = 329,359,488,302.25
  5. Step 5: Solve for x
    x = 329,359,488,302.25/446,964.75
  6. Step 6: Final answer
    x = 736,880.23

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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.