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Finding the Third Proportional to 332,898.75 and 471,044.25

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Solution

The third proportional to 332,898.75 and 471,044.25 is: 666,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,898.75 : 471,044.25 = 471,044.25 : x
  2. Step 2: Convert to fraction form
    332,898.75/471,044.25 = 471,044.25/x
  3. Step 3: Cross multiply
    332,898.75x = 471,044.25 × 471,044.25
  4. Step 4: Simplify right side
    332,898.75x = 221,882,685,458.06
  5. Step 5: Solve for x
    x = 221,882,685,458.06/332,898.75
  6. Step 6: Final answer
    x = 666,517.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.