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Finding the Third Proportional to 351,664 and 545,334

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Solution

The third proportional to 351,664 and 545,334 is: 845,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,664 : 545,334 = 545,334 : x
  2. Step 2: Convert to fraction form
    351,664/545,334 = 545,334/x
  3. Step 3: Cross multiply
    351,664x = 545,334 × 545,334
  4. Step 4: Simplify right side
    351,664x = 297,389,171,556
  5. Step 5: Solve for x
    x = 297,389,171,556/351,664
  6. Step 6: Final answer
    x = 845,662.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.