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Finding the Third Proportional to 356,337 and 522,819

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Solution

The third proportional to 356,337 and 522,819 is: 767,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,337 : 522,819 = 522,819 : x
  2. Step 2: Convert to fraction form
    356,337/522,819 = 522,819/x
  3. Step 3: Cross multiply
    356,337x = 522,819 × 522,819
  4. Step 4: Simplify right side
    356,337x = 273,339,706,761
  5. Step 5: Solve for x
    x = 273,339,706,761/356,337
  6. Step 6: Final answer
    x = 767,082.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.