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Finding the Third Proportional to 291,696 and 603,636

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Solution

The third proportional to 291,696 and 603,636 is: 1,249,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,696 : 603,636 = 603,636 : x
  2. Step 2: Convert to fraction form
    291,696/603,636 = 603,636/x
  3. Step 3: Cross multiply
    291,696x = 603,636 × 603,636
  4. Step 4: Simplify right side
    291,696x = 364,376,420,496
  5. Step 5: Solve for x
    x = 364,376,420,496/291,696
  6. Step 6: Final answer
    x = 1,249,164.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.