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Finding the Third Proportional to 366,156 and 771,678

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Solution

The third proportional to 366,156 and 771,678 is: 1,626,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,156 : 771,678 = 771,678 : x
  2. Step 2: Convert to fraction form
    366,156/771,678 = 771,678/x
  3. Step 3: Cross multiply
    366,156x = 771,678 × 771,678
  4. Step 4: Simplify right side
    366,156x = 595,486,935,684
  5. Step 5: Solve for x
    x = 595,486,935,684/366,156
  6. Step 6: Final answer
    x = 1,626,320.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.