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Finding the Third Proportional to 359,905 and 833,197

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Solution

The third proportional to 359,905 and 833,197 is: 1,928,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905 : 833,197 = 833,197 : x
  2. Step 2: Convert to fraction form
    359,905/833,197 = 833,197/x
  3. Step 3: Cross multiply
    359,905x = 833,197 × 833,197
  4. Step 4: Simplify right side
    359,905x = 694,217,240,809
  5. Step 5: Solve for x
    x = 694,217,240,809/359,905
  6. Step 6: Final answer
    x = 1,928,890.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.