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Finding the Third Proportional to 291,792 and 603,816

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Solution

The third proportional to 291,792 and 603,816 is: 1,249,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,792 : 603,816 = 603,816 : x
  2. Step 2: Convert to fraction form
    291,792/603,816 = 603,816/x
  3. Step 3: Cross multiply
    291,792x = 603,816 × 603,816
  4. Step 4: Simplify right side
    291,792x = 364,593,761,856
  5. Step 5: Solve for x
    x = 364,593,761,856/291,792
  6. Step 6: Final answer
    x = 1,249,498.83

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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.