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Finding the Third Proportional to 339,762.94 and 475,263.28

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Solution

The third proportional to 339,762.94 and 475,263.28 is: 664,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,762.94 : 475,263.28 = 475,263.28 : x
  2. Step 2: Convert to fraction form
    339,762.94/475,263.28 = 475,263.28/x
  3. Step 3: Cross multiply
    339,762.94x = 475,263.28 × 475,263.28
  4. Step 4: Simplify right side
    339,762.94x = 225,875,186,504.52
  5. Step 5: Solve for x
    x = 225,875,186,504.52/339,762.94
  6. Step 6: Final answer
    x = 664,802.31

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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.