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Finding the Third Proportional to 351,666 and 545,337

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Solution

The third proportional to 351,666 and 545,337 is: 845,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,666 : 545,337 = 545,337 : x
  2. Step 2: Convert to fraction form
    351,666/545,337 = 545,337/x
  3. Step 3: Cross multiply
    351,666x = 545,337 × 545,337
  4. Step 4: Simplify right side
    351,666x = 297,392,443,569
  5. Step 5: Solve for x
    x = 297,392,443,569/351,666
  6. Step 6: Final answer
    x = 845,667.32

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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.