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Finding the Third Proportional to 351,213 and 755,742

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Solution

The third proportional to 351,213 and 755,742 is: 1,626,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,213 : 755,742 = 755,742 : x
  2. Step 2: Convert to fraction form
    351,213/755,742 = 755,742/x
  3. Step 3: Cross multiply
    351,213x = 755,742 × 755,742
  4. Step 4: Simplify right side
    351,213x = 571,145,970,564
  5. Step 5: Solve for x
    x = 571,145,970,564/351,213
  6. Step 6: Final answer
    x = 1,626,209.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.