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Finding the Third Proportional to 368,530 and 803,764

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Solution

The third proportional to 368,530 and 803,764 is: 1,753,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,530 : 803,764 = 803,764 : x
  2. Step 2: Convert to fraction form
    368,530/803,764 = 803,764/x
  3. Step 3: Cross multiply
    368,530x = 803,764 × 803,764
  4. Step 4: Simplify right side
    368,530x = 646,036,567,696
  5. Step 5: Solve for x
    x = 646,036,567,696/368,530
  6. Step 6: Final answer
    x = 1,753,009.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.