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Finding the Third Proportional to 351,306 and 755,894.25

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Solution

The third proportional to 351,306 and 755,894.25 is: 1,626,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,306 : 755,894.25 = 755,894.25 : x
  2. Step 2: Convert to fraction form
    351,306/755,894.25 = 755,894.25/x
  3. Step 3: Cross multiply
    351,306x = 755,894.25 × 755,894.25
  4. Step 4: Simplify right side
    351,306x = 571,376,117,183.06
  5. Step 5: Solve for x
    x = 571,376,117,183.06/351,306
  6. Step 6: Final answer
    x = 1,626,434.27

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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.