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Finding the Third Proportional to 366,296 and 771,952

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Solution

The third proportional to 366,296 and 771,952 is: 1,626,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,296 : 771,952 = 771,952 : x
  2. Step 2: Convert to fraction form
    366,296/771,952 = 771,952/x
  3. Step 3: Cross multiply
    366,296x = 771,952 × 771,952
  4. Step 4: Simplify right side
    366,296x = 595,909,890,304
  5. Step 5: Solve for x
    x = 595,909,890,304/366,296
  6. Step 6: Final answer
    x = 1,626,853.39

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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.