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Finding the Third Proportional to 368,101.13 and 778,642.88

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Solution

The third proportional to 368,101.13 and 778,642.88 is: 1,647,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,101.13 : 778,642.88 = 778,642.88 : x
  2. Step 2: Convert to fraction form
    368,101.13/778,642.88 = 778,642.88/x
  3. Step 3: Cross multiply
    368,101.13x = 778,642.88 × 778,642.88
  4. Step 4: Simplify right side
    368,101.13x = 606,284,726,788.27
  5. Step 5: Solve for x
    x = 606,284,726,788.27/368,101.13
  6. Step 6: Final answer
    x = 1,647,060.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.