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Finding the Third Proportional to 350,204 and 509,996

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Solution

The third proportional to 350,204 and 509,996 is: 742,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,204 : 509,996 = 509,996 : x
  2. Step 2: Convert to fraction form
    350,204/509,996 = 509,996/x
  3. Step 3: Cross multiply
    350,204x = 509,996 × 509,996
  4. Step 4: Simplify right side
    350,204x = 260,095,920,016
  5. Step 5: Solve for x
    x = 260,095,920,016/350,204
  6. Step 6: Final answer
    x = 742,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.