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Finding the Third Proportional to 366,169 and 771,701

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Solution

The third proportional to 366,169 and 771,701 is: 1,626,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,169 : 771,701 = 771,701 : x
  2. Step 2: Convert to fraction form
    366,169/771,701 = 771,701/x
  3. Step 3: Cross multiply
    366,169x = 771,701 × 771,701
  4. Step 4: Simplify right side
    366,169x = 595,522,433,401
  5. Step 5: Solve for x
    x = 595,522,433,401/366,169
  6. Step 6: Final answer
    x = 1,626,359.50

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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.