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Finding the Third Proportional to 313,304 and 662,328

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Solution

The third proportional to 313,304 and 662,328 is: 1,400,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304 : 662,328 = 662,328 : x
  2. Step 2: Convert to fraction form
    313,304/662,328 = 662,328/x
  3. Step 3: Cross multiply
    313,304x = 662,328 × 662,328
  4. Step 4: Simplify right side
    313,304x = 438,678,379,584
  5. Step 5: Solve for x
    x = 438,678,379,584/313,304
  6. Step 6: Final answer
    x = 1,400,168.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.