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Finding the Third Proportional to 352,404 and 545,886

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Solution

The third proportional to 352,404 and 545,886 is: 845,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,404 : 545,886 = 545,886 : x
  2. Step 2: Convert to fraction form
    352,404/545,886 = 545,886/x
  3. Step 3: Cross multiply
    352,404x = 545,886 × 545,886
  4. Step 4: Simplify right side
    352,404x = 297,991,524,996
  5. Step 5: Solve for x
    x = 297,991,524,996/352,404
  6. Step 6: Final answer
    x = 845,596.32

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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.