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Finding the Third Proportional to 355,708 and 542,596

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Solution

The third proportional to 355,708 and 542,596 is: 827,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,708 : 542,596 = 542,596 : x
  2. Step 2: Convert to fraction form
    355,708/542,596 = 542,596/x
  3. Step 3: Cross multiply
    355,708x = 542,596 × 542,596
  4. Step 4: Simplify right side
    355,708x = 294,410,419,216
  5. Step 5: Solve for x
    x = 294,410,419,216/355,708
  6. Step 6: Final answer
    x = 827,674.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.