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Finding the Third Proportional to 368,280 and 568,692

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Solution

The third proportional to 368,280 and 568,692 is: 878,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,280 : 568,692 = 568,692 : x
  2. Step 2: Convert to fraction form
    368,280/568,692 = 568,692/x
  3. Step 3: Cross multiply
    368,280x = 568,692 × 568,692
  4. Step 4: Simplify right side
    368,280x = 323,410,590,864
  5. Step 5: Solve for x
    x = 323,410,590,864/368,280
  6. Step 6: Final answer
    x = 878,164.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.