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Finding the Third Proportional to 361,356.19 and 778,210.88

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Solution

The third proportional to 361,356.19 and 778,210.88 is: 1,675,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,356.19 : 778,210.88 = 778,210.88 : x
  2. Step 2: Convert to fraction form
    361,356.19/778,210.88 = 778,210.88/x
  3. Step 3: Cross multiply
    361,356.19x = 778,210.88 × 778,210.88
  4. Step 4: Simplify right side
    361,356.19x = 605,612,165,968.27
  5. Step 5: Solve for x
    x = 605,612,165,968.27/361,356.19
  6. Step 6: Final answer
    x = 1,675,942.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.