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Finding the Third Proportional to 238,606 and 514,574

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Solution

The third proportional to 238,606 and 514,574 is: 1,109,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,606 : 514,574 = 514,574 : x
  2. Step 2: Convert to fraction form
    238,606/514,574 = 514,574/x
  3. Step 3: Cross multiply
    238,606x = 514,574 × 514,574
  4. Step 4: Simplify right side
    238,606x = 264,786,401,476
  5. Step 5: Solve for x
    x = 264,786,401,476/238,606
  6. Step 6: Final answer
    x = 1,109,722.31

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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.