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Finding the Third Proportional to 238,623 and 514,611

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Solution

The third proportional to 238,623 and 514,611 is: 1,109,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,623 : 514,611 = 514,611 : x
  2. Step 2: Convert to fraction form
    238,623/514,611 = 514,611/x
  3. Step 3: Cross multiply
    238,623x = 514,611 × 514,611
  4. Step 4: Simplify right side
    238,623x = 264,824,481,321
  5. Step 5: Solve for x
    x = 264,824,481,321/238,623
  6. Step 6: Final answer
    x = 1,109,802.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.