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Finding the Third Proportional to 363,800 and 745,636

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Solution

The third proportional to 363,800 and 745,636 is: 1,528,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,800 : 745,636 = 745,636 : x
  2. Step 2: Convert to fraction form
    363,800/745,636 = 745,636/x
  3. Step 3: Cross multiply
    363,800x = 745,636 × 745,636
  4. Step 4: Simplify right side
    363,800x = 555,973,044,496
  5. Step 5: Solve for x
    x = 555,973,044,496/363,800
  6. Step 6: Final answer
    x = 1,528,238.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.