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Finding the Third Proportional to 361,784 and 771,600

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Solution

The third proportional to 361,784 and 771,600 is: 1,645,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,784 : 771,600 = 771,600 : x
  2. Step 2: Convert to fraction form
    361,784/771,600 = 771,600/x
  3. Step 3: Cross multiply
    361,784x = 771,600 × 771,600
  4. Step 4: Simplify right side
    361,784x = 595,366,560,000
  5. Step 5: Solve for x
    x = 595,366,560,000/361,784
  6. Step 6: Final answer
    x = 1,645,640.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.