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Finding the Third Proportional to 366,932 and 793,768

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Solution

The third proportional to 366,932 and 793,768 is: 1,717,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,932 : 793,768 = 793,768 : x
  2. Step 2: Convert to fraction form
    366,932/793,768 = 793,768/x
  3. Step 3: Cross multiply
    366,932x = 793,768 × 793,768
  4. Step 4: Simplify right side
    366,932x = 630,067,637,824
  5. Step 5: Solve for x
    x = 630,067,637,824/366,932
  6. Step 6: Final answer
    x = 1,717,123.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.