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Finding the Third Proportional to 366,864 and 805,036

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Solution

The third proportional to 366,864 and 805,036 is: 1,766,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,864 : 805,036 = 805,036 : x
  2. Step 2: Convert to fraction form
    366,864/805,036 = 805,036/x
  3. Step 3: Cross multiply
    366,864x = 805,036 × 805,036
  4. Step 4: Simplify right side
    366,864x = 648,082,961,296
  5. Step 5: Solve for x
    x = 648,082,961,296/366,864
  6. Step 6: Final answer
    x = 1,766,548.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.