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Finding the Third Proportional to 329,476 and 501,318

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Solution

The third proportional to 329,476 and 501,318 is: 762,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,476 : 501,318 = 501,318 : x
  2. Step 2: Convert to fraction form
    329,476/501,318 = 501,318/x
  3. Step 3: Cross multiply
    329,476x = 501,318 × 501,318
  4. Step 4: Simplify right side
    329,476x = 251,319,737,124
  5. Step 5: Solve for x
    x = 251,319,737,124/329,476
  6. Step 6: Final answer
    x = 762,786.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.