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Finding the Third Proportional to 350,168 and 509,944

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Solution

The third proportional to 350,168 and 509,944 is: 742,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,168 : 509,944 = 509,944 : x
  2. Step 2: Convert to fraction form
    350,168/509,944 = 509,944/x
  3. Step 3: Cross multiply
    350,168x = 509,944 × 509,944
  4. Step 4: Simplify right side
    350,168x = 260,042,883,136
  5. Step 5: Solve for x
    x = 260,042,883,136/350,168
  6. Step 6: Final answer
    x = 742,623.21

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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.