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Finding the Third Proportional to 476,814.94 and 668,255.06

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Solution

The third proportional to 476,814.94 and 668,255.06 is: 936,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,814.94 : 668,255.06 = 668,255.06 : x
  2. Step 2: Convert to fraction form
    476,814.94/668,255.06 = 668,255.06/x
  3. Step 3: Cross multiply
    476,814.94x = 668,255.06 × 668,255.06
  4. Step 4: Simplify right side
    476,814.94x = 446,564,828,556.88
  5. Step 5: Solve for x
    x = 446,564,828,556.88/476,814.94
  6. Step 6: Final answer
    x = 936,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.