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Finding the Third Proportional to 361,780 and 771,592

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Solution

The third proportional to 361,780 and 771,592 is: 1,645,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780 : 771,592 = 771,592 : x
  2. Step 2: Convert to fraction form
    361,780/771,592 = 771,592/x
  3. Step 3: Cross multiply
    361,780x = 771,592 × 771,592
  4. Step 4: Simplify right side
    361,780x = 595,354,214,464
  5. Step 5: Solve for x
    x = 595,354,214,464/361,780
  6. Step 6: Final answer
    x = 1,645,625.01

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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.