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Finding the Third Proportional to 368,282 and 568,695

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Solution

The third proportional to 368,282 and 568,695 is: 878,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,282 : 568,695 = 568,695 : x
  2. Step 2: Convert to fraction form
    368,282/568,695 = 568,695/x
  3. Step 3: Cross multiply
    368,282x = 568,695 × 568,695
  4. Step 4: Simplify right side
    368,282x = 323,414,003,025
  5. Step 5: Solve for x
    x = 323,414,003,025/368,282
  6. Step 6: Final answer
    x = 878,169.45

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Why These Related Problems?

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