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Finding the Third Proportional to 377,184 and 503,556

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Solution

The third proportional to 377,184 and 503,556 is: 672,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,184 : 503,556 = 503,556 : x
  2. Step 2: Convert to fraction form
    377,184/503,556 = 503,556/x
  3. Step 3: Cross multiply
    377,184x = 503,556 × 503,556
  4. Step 4: Simplify right side
    377,184x = 253,568,645,136
  5. Step 5: Solve for x
    x = 253,568,645,136/377,184
  6. Step 6: Final answer
    x = 672,267.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.