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Finding the Third Proportional to 358,241 and 522,595

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Solution

The third proportional to 358,241 and 522,595 is: 762,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,241 : 522,595 = 522,595 : x
  2. Step 2: Convert to fraction form
    358,241/522,595 = 522,595/x
  3. Step 3: Cross multiply
    358,241x = 522,595 × 522,595
  4. Step 4: Simplify right side
    358,241x = 273,105,534,025
  5. Step 5: Solve for x
    x = 273,105,534,025/358,241
  6. Step 6: Final answer
    x = 762,351.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.